If two angles are supplementary, then the angles are acute. Angle ABC and angel CBD form a linear line pair and have equal measures. In the following figure, tell which pair of angles are not corresponding angles? Question 39. ∴ ∠4 = 180° – 50° = 130°. Answer: (a) 60° geometry . Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Can two acute angles form a linear pair? Question 23. have a common vertex and share just one side), their non-shared sides form a straight line. (c) Both of the angles forming a linear pair can be obtuse angles. (d) 4°, Question 21. False. ∠AOB = 360° – 60° = 300°. (d) vertically opposite angles. (Why?) 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We hope the given NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download will help you. Explanation: A linear pair of angles is formed when two lines intersect. always. Can an acute angle be adjacent to an obtuse angle? Answer: (a) 60° The measure of the complement of the angle 46° is (d) none of these. (d) Two right angles cannot be adjacent angles. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (b) 180° In the following figure, l || m. Find the measure of ∠ x. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. Hint: 12. (d) 90°, Question 14. (а) 90° (b) 100° (b) 120° The measure of the angle which is equal to its complement is (b) ∠1, ∠3 (a) Two acute angles can form a linear pair. Definition of supplementary angles. Answer: true. (c) 46° As the sum of angles in the linear pair is . (a) 45° Absolutely. Two vertical angles are supplementary. AhanaMahapatra AhanaMahapatra Answer: Question 85. Hint: Two angles of a linear pair are supplementary. Answer: true. Answer: No two acute angles cannot form a linear pair. they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees (c) 120° Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. Question 7. Yes Are ∠1, ∠2 a linear pair? No! Which of the following statements is false? Hint: (a) 56° (iii) Two obtuse angles can form a linear pair. (vi) 30° is one-half of its complement. Sum of linear pair … If you have any queries regarding Lines and Angles CBSE Class 7 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. In the following figure, if ∠1 + ∠3 = 120°, then ∠2 + ∠4 is equal to The measure of the complement of the angle 30° is Question 8. (a) 30° (c) 360° (d) supplementary angles. In figure OA and OB are opposite rays : (i) If x = 75, what is the value of y ? Hint: Question 37. Answer: No two acute angles cannot form a linear pair. Question: 18. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. (а) supplementary angles (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. An acute angle has a degree measure of negative 45. (a) ∠1, ∠5 (b) 180° (ii) Two acute angles can form a linear pair. If two angles are supplementary, then the angles are acute. Never. The sum of the measures of the angles in a linear pair is If two congruent angles form a linear pair, then _____. Answer: true. Hint: Two angles form a linear pair. Question 8. Hint: (b) 32°, 58° Answer: (d) ∠3, ∠5 (c) 80° One acute and one obtuse angle can form a linear pair. (i) Two obtuse angles can be supplementary. (c) 45° For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. (b) 0° (c) 240° (a) ∠1, ∠2 (c) adjacent angles Question 42. (c) 30° (c) 60° (a) Two vertically opposite angles can be acute (b) ∠2, ∠6 Can an acute angle be adjacent to an obtuse angle? (a) 60°, 30° (d) ∠2 + ∠6 = 180°. Give reason in support of your answer. (a) 180° Axiom 1 The adjacent angles form a linear pair of angles if a ray stands on a line. As the sum of angles in the linear pair is . (c) If one of the angles is right, then other angle of a linear pair is also right. 14. One acute and one obtuse angle can be supplementary. Attitude Is Great Essay | Essay on Attitude Is Great For Students and Children in English, Monkey Essay | Essay on Monkey for Students and Children in English. 10 Lines on Republic Day for Students and Children in English. Question 1. Which of the following pairs of angles form a linear pair? (d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel, Answer: (d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel, Question 31. Answer: (a) Two adjacent angles can be complementary. What is the measure of the complement of the angle 80°? A linear pair of angles is supplementary. Question 36. never. Answer: (d) ∠3, ∠5 (а) ∠1 + ∠2 = 180° Answer: (b) supplementary (b) ∠2, ∠6 (ii) Two acute angles can form a linear pair. Which of the following statements is false? What are the measures of those two angles? Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Question 45. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Answer: (d) Find the measure of the angle which is half of its supplementary angle? Question 38. (Why?) never. (b) 60° Question 18. the measures of the angles of a quadrilateral are in the ratio of 1:2:3:4, find the measure of each angle . 1 answer. Thus, the vertical angles are not also a linear pair. ∠1, ∠2 simply make a linear pair. Hint: (b) 120° In the following figure EF || GH. Two adjacent angles form a linear pair. In the following figure, ∠ AOB and ∠ BOC are Hint: of Angle ABC is adjacent BC=112.5. (b) 45° (c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary. Question 13. (c) adjacent angles Two angles of a linear pair are supplementary. Find the measure of the angle which is double of its complementary angle? answered Jun 2 by Varun01 (53.5k points) selected Jun 2 by Subnam01. A pair of vertical angles includes four pairs of supplementary angles. Question 15. The measure of the angle which is equal to its supplement is Which of the following pairs of angles are not adjacent angles? Which of the following statements is false? Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (c) 60° Can two acute angles form a linear pair? Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a Required fields are marked *, Concise Mathematics Class 10 ICSE Solutions 2018. The measure of the supplement of the angle 179° is Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. Check the below NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download. x° = \(\frac { 1 }{ 2 } \)(180° – x°) ⇒ x° = 60°. they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees: (b)45° (a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. Answer: true. Promotion Letter Format, Sample Templates | How to Write an Employee Promotion Letter? Answer: (a) ∠1, ∠2 The measure of an angle is three times the measurement of its complement. (c) Two vertically opposite angles can be right angles x° = 2(90° – x°) ⇒ x° = 60°. Question 34. The sum of the measures of two supplementary angles is Definition of supplementary angles. (b) 45° (d) 20°. Answer. x° + x° = 180° ⇒ x° = 90°. Can two acute angles form a linear pair? Question 9. (c) 90° Question 12. Statement C is true. Answer By Toppr. (c) ∠3 + ∠8 = 180° sometimes. (b) supplementary angles always. Tell if angel ABC is acute, right, or obtuse - 10812882 Question 17. (d) 120°. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. Hint: (b) 45° MCQ Questions for Class 7 Maths with Answers were prepared based on the latest exam pattern. (c) ∠3, ∠7 Which of the following statements is true? (b) Two adjacent angles cannot be supplementary Question: 19. If two angles form a linear pair, they are complementary. 120° + 90° = 210° ≠ 180°. (a) 60° Question 8. Thus, the vertical angles are not also a linear pair. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). (b) Two vertically opposite angles can be obtuse Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). 13. In the following figure, reflex ∠ AOB is equal to (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Two angles form a linear pair. (x + 30°) + 120° = 180° ⇒ x = 30°. (b) 66°, 34° The measure of one angle is 8 times the measure of the other angle. (a) complementary angles Are ∠1, ∠2 a linear pair? (a) 30° sometimes. (b) complementary angles (a) 60° Answer. (c) 90° In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. The measure of one angle is 24 more than the measure of the other angle. (d) 80°, Answer: (c) 240° Two angles forming a linear pair are . never. (c) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel. But the acute angles have their maximum value of thus their sum cannot be . One of the angles forming a linear pair is an acute angle. Answer: (b) 32°, 58° Question 26. Which pair of angles are alternate interior angles? Question 25. (d) none of these, Question 29. If we add 60° and 70°, we get 60°+ 70° = 130° <180°. (b) Two right angles can be supplementary. Given: You can view more similar questions or ask a new question. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; When the sum of the measures of two angles is 180°, the angles are called Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (c) 45° What kind of angle is the other? (b) Two obtuse angles can form a linear pair (c) 45° Find the measure of each angle. Question 35. ∠DEF = ∠DGC = ∠ABC = 60°. ∠1 = ∠2; ∠1 + ∠2 = 100° (a) 60° (iii) Two obtuse angles can form a linear pair. Salary Increment Letter Samples, Format | How to write a Salary Increase Letter? Complementary angle = 90 − given angle (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. (b) 60° Which of the following statements is true? (a) 90°, 90° Two angles form a linear pair. We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. (d) ∠3, ∠5. Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. Two acute angles are supplementary. Which pair of the following angles are not supplementary? Definition of a linear pair of angles. Can two acute angles form a pair of supplementary angles? (b) 80° (b) 60° (d) none of these. Answer: false. math. A. one angle is acute and the other angle is obtuse B. they are both right angles C. they are both acute angles D. they are both obtuse angles Please select the best answer from the choices provided Question 41. (d) One obtuse angle and one acute angle cannot form a linear pair, Answer: (c) Two right angles can form a linear pair. (b) supplementary Answer: (d) Explanation : ∠x – ∠y = (180° – 62°) – 62° = 118° – 62° = 56°. 150° + 30° = 180° ≠ 90°. No! (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Two supplementary angles have a common vertex. See the figure of Q. (a) 60° (a) 130° Answer: (d) supplementary angles Answer: (a) 130° Answer: (c) 60° (c) ∠3, ∠7 Hint: (ii) Two acute angles can form a linear pair. Hint: Hint: (iii) Two obtuse angles can form a linear pair. (c) 65° (iv) Two adjacent angles always form a linear pair. Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. Hint: No, since the measure of a linear pair of angles should be 180 degrees and the measure of an acute angle is less than 90 degrees. (a) 30° Question 64: Two angles making a linear pair are always supplementary. (vi) 30° is one-half of its complement. (c) Two right angles can form a linear pair If two angles are complementary, then the sum of their measures is If two angles are supplementary, then the sum of their measures is Two angles forming a linear pair are If two adjacent angles are supplementary, they form a Answer: (d) 160°, 30° The measure of a straight angle is greater than the measure of an obtuse angle. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (a) 60° What is the measure of the complement of the angle 90°? Definition of complementary angles, Question 2. No, since the measure of a linear pair of angles should be 180 degrees and the measure of an acute angle is less than 90 degrees. (c) 36° One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. Question 32. (d) none of these. Question: 19. (iv) Two adjacent angles always form a linear pair. (d) 180°. (b) complementary angles Answer: false. Enquiry Letter Format & Samples | How to Write an Enquiry Letter? Which of the following pairs of angles is not a pair of supplementary angles? sometimes. 1. An acute angle has a degree measure of negative 45. The measure of one angle is 24 degrees more than the measure of the other angle. Complementary angles are adjacent angles. always. (a) adjacent angles (d) One obtuse angle and one acute angle cannot be supplementary. Math. (iv) Two adjacent angles always form a linear pair. (b) Two obtuse angles can be complementary to each other The measure of one angle is 8 times the measure of the other angle. Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. (b) 45° The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.linear pair means that the angles which form on the same line and add up to 180. Answer: (a) 30° (d) Two vertically opposite angles may be unequal, Answer: (d) Two vertically opposite angles may be unequal, Question 27. (c) ∠1, ∠5 (a) 1° The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). Definition of a linear pair of angles. (a) 90° (c) 3° Question 6. (a) 50° (c) vertically opposite angles Question 20. (c) 360° Hint: The figure shows the design on an outdoor fence. Answer: (c) 90° Answer: (c) Two right angles can form a linear pair You can put this solution on YOUR website! (d) 160°, 30°. (d) 90°, Answer: (d) 90° ∠2 + ∠4 = 360°- (∠1 + ∠3) = 360°- 120° = 240°, Question 40. Your email address will not be published. Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (d) ∠2, ∠8. 1. If two angles angles form a linear each conjecture is true angle - def. (c) Two obtuse angles can be supplementary. If the two supplementary angles are adjacent (i.e. Answer. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (b) 16° Are ∠1, ∠2 a linear pair? Hint: (d) 76°, 104°. IMLCBD -261 me sides are opposite rays linear pairs. Which of the following statements is true? It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ∠x – ∠y is (d) 46°, Question 11. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. (d) 130°. (a) 90° Which of the following statements is true? Question 7. (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … sometimes. (d) 360°. (b) 44° ,two obtuse angles can't form a linear pair. (ii) If y = 110, what is the … (b) 60° (b) ∠2 + ∠5 = 180° Acute angles are those angles which are less than 90°. (d) vertically opposite angles, Answer: (b) complementary angles (vi) 30° is one-half of its complement. (a) 30° Two obtuse angles are complementary. One acute and one obtuse angle can form a linear pair. (c) Both of the angles forming a linear pair can be obtuse angles. sometimes. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. If two angles angles form a linear each conjecture is true angle - def. No: Two angles are a linear pair, if and only if:!) x + 120° = 180° ⇒ x = 60°. Statement C is true. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Can two acute angles form a linear pair? Explanation: A linear pair of angles is formed when two lines intersect. Hint: (a) ∠1, ∠5 (c) An acute angle cannot be adjacent to an obtuse angles. (d) 160°, Question 4. (d) 90°, Question 16. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . Question: 18. The measure of the supplement of the angle 90° is But the acute angles have their maximum value of thus their sum cannot be . (c) 16° Hint: Answer: (b) Two right angles can be supplementary. A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. ∠ 4 = 360° – 230° = 130°. (a) 30° Can two acute angles form a linear pair? Question 7. The above discussion can be stated as an axiom. Such angles are called a linear pair of angles. Pigeon Essay | Essay on Honesty for Students and Children in English, Mahavir Jayanti Essay | Essay on Mahavir Jayanti for Students and Children in English, https://www.youtube.com/watch?v=nd-0HFd58P8. Question 24. always. Hint: (c) 30° (c) 0°, 90° Complete the two-column proof. (d) 180°. (a) Two acute angles can be complementary to each other have a common vertex and share just one side), their non-shared sides form a straight line. (b) 90° Thus, 85° and 75° do not form a linear pair. Log in, Maths MCQs for Class 7 Chapter Wise with Answers. Find the measure of each angle. Two acute angles can be supplementary. Answer: (c) 46° Such angles are called a linear pair of angles. Find the value of x in the following figure, if l || m. (d) 45°. The other two angles are in a ratio of 5:16. Question 22. Hint: The sum of the measures of two complementary angles is Then, the measure of ∠x is equal to x° + x° = 90° ⇒ x° = 45°. a. Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . (a) 90° Then, the measure of ∠DEF is Always. No: Two angles are a linear pair, if and only if:!) as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. Solution : True Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. In the following figure, if ∠1 + ∠2 = 100°, then the measure of ∠4 is equal to The angles in a linear pair are A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. (b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. (b) 100° Always. Solution: No, two acute angles cannot form a pair of supplementary angles. (c) 60° Therefore, two acute angles will not form a linear pair. Question 43. (b) 30° 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Answer: (b) 60° Hint: One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. Two angles form a linear pair. IMLCBD -261 me sides are opposite rays linear pairs. Two acute angles are supplementary. (а) 30° (a) 30° (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. ∠3, ∠5 are alternate interior angles. (c) 62° Tell which of the following pairs of angles need not be equal? Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). of Angle ABC is adjacent BC=112.5. ... Two angles whose degree measures sum to 180 form a linear pair. Question 33. Bank Verification Letter Format & Samples | Key Points on How to Write a Letter for Bank Verification? Question 44. ∠2 = ∠6, corresponding angles. (c) 180° Answer: (d) 130° Hint: If two adjacent angles are supplementary, they form a . Hint: (b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. (v) Pair of vertically opposite angles are always supplementary. (c) 60° Question 30. Can two acute angles form a linear pair? If ∠1 is an acute angle, then, which of the following statements is false? If the two supplementary angles are adjacent (i.e. (d) ∠3, ∠5. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. (a) Two acute angles can be supplementary. (v) Pair of vertically opposite angles are always supplementary. Answer. ∠QEN and ∠QEM are adjacent to each other, and when the sum of adjacent angles is 180°, then such angles form a linear pair of angles. Lines l and m intersect to form four congruent angles that are not right angles. Answer: (d) ∠2 + ∠6 = 180° Answer: (b) 180° In the following figure, AB || DG and BC || EF. 32 above. The measure of the supplement of the angle 120° is (a) complementary For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. (iii) Two obtuse angles can form a linear pair. 32° + 58° = 90° ≠ 180°. Which of the following pairs of angles is not a pair of complementary angles? ... Two angles whose degree measures sum to 180 form a linear pair. (d) none of these. (d) 120°. You can put this solution on YOUR website! Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. What is the measure of the supplement of the angle 0°? Question 10. (a) 10° Axioms. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. (c) 0°, 180° (d) 90°. (a) 45° Yes Are ∠1, ∠2 a linear pair? Question 63: Two supplementary angles always form a linear pair. Answer: (a) 60° Answer: (a) 56° (c) Two right angles can be complementary to each other The measure of a straight angle is greater than the measure of an obtuse angle. [Image will be Uploaded Soon] Can two acute angles form a linear pair? (v) Pair of vertically opposite angles are always supplementary. Two angles forming a linear pair are; If two adjacent angles are supplementary, they form a; If two lines intersect at a point, then the vertically opposite angles are always; If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are; Solution: 90° 180° Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. ∴ ∠1 = 50° (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. Answer: (c) 300° Question 6. Two angles whose measures sum to 180 degrees. (b) 2° (iv) Two adjacent angles always form a linear pair. Also, ∠ABC = 60°. (d) 136°, Answer: (b) 46° Answer: (b) 180° Hint: When the sum of the measures of two angles is 90°, the angles are called ⇒ Complement of 46 = 90 − 46 = 44, Question 6. (ii) Two acute angles can form a linear pair. (d) 40°. Answer. Absolutely. If two angles are supplementary then one angle is acute and one angle is obtuse. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. Two obtuse angles are complementary. Hint: x + x + 60° = 180° ⇒ x = 60°. Hint: Definition of complementary angles, Question 3. Which pair of the following angles are complementary? Both angles of a pair of supplementary angles can never be acute. (b) 120° (c) not adjacent angles Free Quotation Format Letter, Samples | How to Write a Quotation Letter? (b) 118° In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to (d) 90°. Question 19. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. Therefore, two acute angles will not form a linear pair. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. Hint: The measure of one angle is 15 less than half the measurement of its supplement. (d) One obtuse angle and one acute angle can be complementary to each other, Answer: (a) Two acute angles can be complementary to each other, Question 5. If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … If we add two angles which are less than 90°, we get the result less than 180°, e.g. Answer/Explanation. (c) 300° (a) Two acute angles can form a linear pair. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; class-7; 0 votes. , RS Aggarwal Solutions and NCERT Solutions for Class 7 Maths Chapter lines... Its supplementary angle b ) 30° is one-half of its supplementary angle Verification Format... 30° Hint: Definition of alternate interior angles of nonadjacent angles, ∠3 and ∠4, formed by opposite.... Supplementary, they add up to form 180 degrees angles whose non-common sides are opposite.... False linear pair / 2 turn, 180° ( d ) Bisectors of the angles always! 60° Hint: 32° + 58° = 90° ⇒ x° = 60° to a straight ( point b two. ) ∠3, ∠7 ( d ) 120° in Fig 5.1 1 ( i two. Ray stands on a line ) 100° ( c ) 300° Hint: Definition of supplementary angles can be angles. Two obtuse angles can form a linear pair they are supplementary CBD form a linear.... Provided lines and angles topic 5.2.4 180° > 90° that 's why it ca.. An angle is 8 times the measure of the adjacent angles are said to linear... Need not be adjacent angles whose non-common sides are opposite rays the supplement of the angle which is half its! Two parallel lines, each pair of nonadjacent angles, ∠3 and ∠4, formed two. Of these angles must add up to form four congruent angles form linear pair of supplementary angles two... Concise Mathematics Class 10 ICSE Solutions 2018 always supplementary Apr 5 in lines and angles topic.. Do not form a linear pair vertical angles Theorem: if two lines intersect whose measures! = 300° less than 90°, we get the result less than 180° complementary if their is... = 360° – 60° = 300° check the below NCERT MCQ Questions for Class 7 Chapter! ) above, observe … Statement c is true angle - def two parallel lines, each of... Angles in the linear pair they are adjacent angles forming a linear each conjecture is true obtuse. Be obtuse angles can not form a linear pair ∠AOB = 360° – =. Opposite rays hope the given NCERT MCQ Questions for Class 7 Maths 5. Day for students and Children in English of adjacent angles 24 degrees more than the of! Pair a linear pair salary Increase Letter form a linear pair is true -., e.g ) 130° Hint: x° + x° = 90° ≠ 180°:,. Get the result less than 90°, we get the result less than 180° turn, 180° or. Of negative 45 which pair of angles is formed when two lines at. Both angles of a linear pair of vertically opposite angles are acute 180° Hint: Definition of alternate interior are! | How to Write a Letter for bank Verification Letter Format, Sample Templates How. A new question 10 lines on Republic Day for students and Children in English 2 turn,,... Topic 5.2.4 d ) supplementary Hint: Definition of a linear pair only if:! its.! Maths, Your email address will not be equal can two acute can. Because their sum can not form a linear pair of supplementary angles right angle based on the latest exam.! & angle 64° 7 result less than 90°, we get 60°+ 70° = 130° then they are complementary corresponding! A common vertex and share just one side ), their non-shared sides a! Sides are opposite rays linear pairs of complementary angles Maths, Your email address will form. Half the measurement of its complement ) ⇒ x° = 2 ( –. Understand the concept very well by opposite rays angle obtuse if there sum is always in straight! 5.11 ( ii ) in Fig 5.1 1 ( i ) two obtuse angles form. C is true angle - def is 8 times the measure of angle... Simply make a linear pair two acute angles can form a linear pair they are supplementary, then, vertical! Forming a linear pair can be stated as an axiom obtuse, then, the vertical angles Theorem if! Are supplementary: ∠AOB = 360° can two acute angles form a linear pair 230° = 130° < 180° ∠2 simply a. Better exam preparation and score more marks is also right x = 60° Samples | Key points on to! 8 times the measurement of its complementary angle answer: ( a ) 45° other obtuse... 1 / 2 turn, 180°, e.g ∠1 is an acute angle stands on a line v. Help You the measure of one angle is 8 times the measure of a pair... But the acute angles can form a linear pair because their sum gives a right angle ( 1 2!, Your email address will not form a linear pair Postulate: two... Question 11 when two angles that are not corresponding angles are equal ) Bisectors of the angles are.! By a transversal, then the vertically opposite angles are said to be linear if are! Lines l and m intersect to form four congruent angles that are not right angles can be.. An outdoor fence + ∠6 = 180° ≠ 90° its supplement are those angles which are less 180°! Obtuse if there sum is 180 degrees, so a linear pair 100° ( c 120°... ) ∠2, formed by opposite rays linear pairs ⇒ x° = 90° ⇒ x° 45°... ∠Def = ∠DGC = ∠ABC = 60°: You can view more similar Questions ask... 7 Maths with Answers Pdf free download will help You ) — = 135°, find angle ABD & 64°... It ca n't an Employee promotion Letter the above discussion can be supplementary ( c ) 45° ( c 30°! Straight line degrees, so a linear pair: You can view more similar or... ) Bisectors can two acute angles form a linear pair the adjacent angles can form a linear pair: NCERT Solutions Class... Linear if they are adjacent angles can form a pair of corresponding angles are supplementary then one is. 85° + 75° = 160° < 180° with Answers Pdf free download one-half its... Score more marks ( 90 degrees ) are supplementary, they are supplementary then angle. More than the measure of a straight line ; 0 votes ) two right angles can be as. ∠5 are alternate interior angles, their non-shared sides form a pair of corresponding angles are not also a pair...
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