Two angles in a linear pair are adjacent to each other. always. Name two acute adjacent angles. (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. (c) 120° What are the lines which lie on the same plane and do not intersect at any point called? If ED AC , what conclusions can be reached in one or more steps? Answer: (a) 20° Complementary to 70° angle is : (c) x = 105° 1. (d) none of these. Solution: Question 14. (a) Two acute angles can form a linear pair. (d) 360°, Question 21. Question 18. Answer. In the given value of x is : (d) None of these. Question 5. Question 22. (a) 20° (ii) ∠AOC and ∠COB are ……….. angles. What is a pair angle? The other two pairs of angles are adjacent but they do not form a linear pair. (a) 45° 4. (d) straight (iv) Can two adjacent angles be supplementary? Can two obtuse angles be adjacent angles? (Why?) (b) 0° Explanation: A linear pair of angles is formed when two lines intersect. Hence, ∠ x and ∠ y forms a linear pair (c) 3 (d) x = 45 (b) 30° Answer: (b) (a, b) and (c, d) Question 1. (d) x = 115° If two lines intersect at a point, then the vertically opposite angles are always ________ . The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° If the supplement of an angle is 65 o, then find its complement. (d) a ray, Question 32. (a) 135° Question 2. Sum of complementary angles is 90°. Solution: Question 6. (d) 40°, 50° Question 5. Question 1. State whether the given statements are true or false: Question 1. (iii) Two obtuse angles can form a linear pair. (iii) Two obtuse angles can form a linear pair. (i) Fig 5.11 (ii) If two lines are parallel then corresponding angles are equal. (d) 60°, 130° https://www.answers.com/Q/Can_two_obtuse_angles_form_a_linear_pair (a) x = 75° 3. (c) 45° – 145° Can two right angles form a linear pair? For #1-6, use the figure at the right. (b) 95° If two adjacent angles are supplementary, they form a linear pair; If two lines intersect at a point, then the vertically opposite angles are always equal; 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 obtuse angles. Name two obtuse vertical angles. Can two right angles forms a linear pair ? 13. (a) 60° 5. sometimes. Name a pair of adjacent angles. (d) 150° Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Question 12. Vertically opposite angles are equal. Solution: Question 5. (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. The measure of one angle is 24 more than the measure of the other angle. Solution: Question 10. Sum of supplementary angles is 180°. As sum of two angles is neither 90° nor 180°. In the given figure value of x is : Name two obtuse vertical angles. (d) None of these. If two angles are supplementary then the sum of their measures is __________. (c) 15° Question 4. (c) unequal (b) 45° definition of obtuse angle. (d) None of these. Question 7. (c) 8 (vi) 30° is one-half of its complement. Find sum of angle x and y if in the given figure \( l \parallel m \): CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. 19. 3. Lines AB and CD are intersecting each other. 1. (b) 180° (d) 27°, 53° The two axioms mentioned above form the Linear Pair Axioms and are very helpful in solving various mathematical problems. Download All PDF ﬁ les from www.rava.org.in. Can 2 Adjacent Angle Be Complementary? (d) None of these, Question 26. Identify supplementary pair of angles : (d) 30°, Question 28. Now if ∠ABC and ∠CBD for a linear pair, ∴∠ABC + ∠CBD = 180° also given that ∠ABC and ∠CBD are of equal measure ∴ ∠ABC + … Sum of complementary angles is 90°. Supplementary angles are linear pairs. (c) 100° 18. (d) 95°, Question 9. The pairs of angles are nothing but the two angles. an angle with measure equal to 90. However, just because two angles are supplementary does not mean they form a linear pair. (v) Can two obtuse angles be adjacent? (d) A reflex angle, Question 20. (c) Remains the same If one angle of a linear pair is acute, then the other angle is (a) x = 40 Are two alternate angles equal if a transversal intersects two parallel lines ? Answer: (a) x = 60° Question 4. Question 31. Question 27. (ii) Two acute angles can form a linear pair. Answer: (d) None of these E. The last statement of a proof should be the statement of what you are trying to prove. Answer: (c) Two right angles can form a linear pair Answer. Indicate vertically opposite angles : 12. (d) 4 Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 5 Lines and Angles Objective Questions. (v) Pair of vertically opposite angles are always supplementary. Identify which of the following pairs of angles are complementary. No,two obtuse angles can't form a linear pair. (b) 30 + 45 Two lines are parallel if alternating angles are equal. (a) acute D. If two vertical angles are acute, their supplements are obtuse, congruent angles. (xii) Corresponding angles are on the ……….. side of the transversal. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Can two adjacent angles be complementary? (iii) ∠AOC is ………… of ∠COD. Example 4: 1 and 2 form a linear pair so m 1 + m 2 = 180° therefore the angles … of ∠EOA. We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download has been useful to the possible extent. Solution: No, two acute angles cannot form a pair of supplementary angles. Solution: Let x be the required angle. Can two obtuse angles form a linear pair ? (a) An obtuse angle How many rays can be drawn from a given point? If two adjacent angles are supplementary, then they form _________ . Answer: (a) 90° The vertex of the angle is called this point and its arms or sides are called the two rays forming the angle. (d) None of these. (c) 360° (d) None of these. Explore numerous MCQ Questions of Lines and Angles Class 7 with answers provided with detailed solutions by looking below. (b) x = 60° Solution: Question 7. (d) 45°, Question 3. (b) 25° Sum of linear pair is 180°. If the sum of two adjacent angles is 180∘ 180 ∘, then the non-common arms form a line. Sum of supplementary angles is 180°. (iv) Two angles forming a linear pair are ………. Measure of the supplement of 0° : then each pair of corresponding angles are equal. An angle is a figure where, from a common position, two rays appear. Question 14. A. right angles B. acute angles C. obtuse angles D. complementary angles See answer Brainly User Brainly User C hope this helps you alot ... i think it was b JeriD15 JeriD15 Your best option would be B, If two angles form a linear pair, then they are both right angles thanks but i was already took the test New questions in Mathematics. (v) Pair of vertically opposite angles are always supplementary. (a) 55° m 1 = 90 III. Question 3. (c) 65° Answer: Yes, two right angles will form a linear pair as their sum is which is the sum of angles in linear pair. (c) intersecting Question 14. (a) 40° (c) 75° (b) 50° (b) x = 35 (c) 49° One acute and one obtuse angle can form a linear pair. If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is (b) 55° (b) vertically opposite angles Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (d) 112°, 68°, Question 5. What do we call an angle which exactly measures 90°? (a) complementary (b) transversal (iii) Supplement of an obtuse angle is ………. Find the angle, which is equal to its complement. Measure of the supplement of 100° : (a) 90° These are alternating angles. (c) No relation. (c) 40° (b) An acute angle (a) 35° If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is Are ∠1, ∠2 a linear pair? (d) 90°, Question 23. They 'supplement' each other to make the total equal 180 degrees. Answer: (b) 180° ... Two angles whose degree measures sum to 180 form a linear pair. (c) 60°, 120° an angle with measure greater than 90 and less than 180. definition of right angle. Answer: (c) 15° Identify which of the following pairs of angles are supplementary. (a) 180° In the given figure, PA || BC || DQ and AB || DC. (vi) 30° is one-half of its complement. (b) Intersecting lines (ii) If two angles are supplementary, then the sum of their measures is ………… (i) If two angles are complementary, then the sum of their measures is ……….. (d) none of these. (c) x = 30 Example. (c) Protractor (a) 55°, 115° Answer/Explanation. Pairs of alternate exterior angles, Answer: \(\angle 1\) and \(\angle 8\), \(\angle 2\) and \(\angle 7\), Question 6. Find the angle, which is equal to its supplement. (c) 0 + 95 (b) 55° Solution: Question 11. (c) none of these. (b) 50° 24. a. (a) 2 (d) 80°, 10°, Question 11. The measure of a straight angle is greater than the measure of an obtuse angle. 3. Solution: Question 13. Solution: Question 9. Observe the following diagram of a Linear Pair ∠ x and ∠ y are two adjacent angles because: Both are supplementary to each other i.e. State whether the following statements are true (T) or false (F): (b) 65°, 125° If in the given figure \(\angle \) x = \(\angle \) y then : (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. Which of the following pairs of angles form a linear pair? In the diagram below, ∠ABC and ∠DBE are supplementary since 30°+150°=180°, but they do not form a linear pair since they are not adjacent. In the given figure, if l || m then the value of x is (i) ∠AOC and ∠COE form a pair of ……….. angles. right angles theorem. (b) 63°, 27° Answer: (d) Explanation : Students can download the Lines and Angles Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Question 29. (c) Corresponding angles Right angle. In the given figure, AB || CD. (a) 130°, 50° Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180 o. One angle will be acute and the other obtuse; such that they are supplementary. (c) right Can two acute angles form a pair of supplementary angles? Pairs of corresponding angles, Answer: \(\angle 1\) and \(\angle 5\), \(\angle 2\) and \(\angle 6\), \(\angle 3\) and \(\angle 7\), \(\angle 4\) and \(\angle 8\), Question 4. (a) 0° Answer: (b) 125° (d) None of these, Question 34. Question 6. ... if two angles form a linear pair, then the two angles are supplementary. No! Adjacent angles have a common …………… and a common …………………, 4. Question 4. (b) l ≠ m (a) parallel (vii) Can two right angles form a linear pair? (a) (a, d) (c) 80° vertical angles are congruent. Answer: (c) 80° (a) 90° Name two acute vertical angles. (c) 175° 108. One acute and one obtuse angle can form a linear pair. (a) x = 50 Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. (b) equal If an angle is one-third of its supplement, then the measure of the angle is Can two right angles forms a linear pair ? Observe the figure and fill in the following blanks: If an angle measures 10° more than its complement, then the measure of the angle is The measure of an angle is three times the measurement of its complement. 3 is a right angle II. (x) Two lines in a plane which never meet are called ………. (c) x = 70 Question 6. (a) supplementary Can two acute angles form a linear pair? (d) A right angle, Question 13. (180°, 5°) pair of angle is given : (b) 75° (c) 25°, 75° (a) Compasses Can two obtuse angles be adjacent angles? Name a linear pair. The measure of one angle is 8 times the measure of the other angle. If two congruent angles form a linear pair, then _____. (c) 35° Answer: (a) 55° In the given figure, the value of x that will make AOB a straight line is (d) None of these. Solution: Question 3. 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 (b) supplementary Answer: true. Question 10. (b) 50°, 130° If sum of two angles is 180°, i.e., pair of supplementary. (b) 30° Answer. Are ∠1, ∠2 a linear pair? Question 2. Since the non-adjacent sides of a linear pair form a line, a linear pair of angles is always supplementary. Two lines intersect and the vertically opposite angles so formed are ………………. Find the measure of each angle. (c) 10° Solution: Question 12. (viii)Angles formed by two intersecting lines having no common arms are called ……….. Yes Are ∠1, ∠2 a linear pair? Pair of interior angles on the same side of the transversal, Answer: \(\angle 3\) and \(\angle 5\), \(\angle 4\) and \(\angle 6\). (b) Triples Answer: true. ∠ y + ∠ x = 60° + 120° = 180° Have one common side "op". (c) (a, c) and If Two Angles Form A Linear Pair, The Angles Are Supplementary. Name a pair of complementary angles. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. If two adjacent angles are supplementary, they form a ………………. (a) 25° (vii) Adjacent angles have a common vertex, a common ……….. and no common ……… (c) 35° Name a linear pair. Yes Are ∠1, ∠2 a linear pair? Question 25. (iv) ∠BOE is …………. Question 8. (d) Collinear lines, Question 15. They do not form a straight line. A pair of supplementary angles is (d) x = 25 (vi) Can an acute angle be adjacent to an obtuse angle? Complementary to 95° angle is : (d) Infinitely many, Question 19. 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