Name a pair of complementary angles. Can an acute angle be adjacent to an obtuse angle? Solution: No, two acute angles cannot form a pair of supplementary angles. (a) Two acute angles can form a linear pair. Answer: true. Solution: Choose the correct answer from the given four options (4 to 14): Can two right angles forms a linear pair ? (a) 20° (c) 8 (c) 100° Which instrument is used to measure or construct angles? (b) 125° (b) obtuse Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): (d) straight However, just because two angles are supplementary does not mean they form a linear pair. (b) x = 60 (b) (a, b) and (c, d) (c) 80° then each pair of corresponding angles are equal. The pairs of angles are nothing but the two angles. Sum of complementary angles is 90°. (b) l ≠ m One acute and one obtuse angle can form a linear pair. (xii) Corresponding angles are on the ……….. side of the transversal. (a) 90° (b) 45° (b) 50° (d) None of these. Are two alternate angles equal if a transversal intersects two parallel lines ? Complementary pair of angles : Two angles forming a linear pair are ……………. (a) x = 50° Question 33. In the given figure, AB || CD. Name a linear pair. Students can download the Lines and Angles Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Then the values of x and y are respectively: (d) None of these. (d) None of these. Answer: (a) 55° In the gitsen figure, if l || m then the value of x is Answer: (a) 90° (b) 15° Answer: (c) 80° The sum of the measures of two angles is 90°, the angles are called ………….. angles. Answer: false. State whether the following statements are true (T) or false (F): (d) 45°, Question 3. Can two obtuse angles be adjacent angles? (a) x = 40 Since the non-adjacent sides of a linear pair form a line, a linear pair of angles is always supplementary. (vii) Adjacent angles have a common vertex, a common ……….. and no common ……… (d) 150° (c) Both of the angles forming a linear pair can be obtuse angles. (a) a linear pair of angles (180°, 5°) pair of angle is given : (c) If one of the angles is right, then other angle of a linear pair is also right. Answer. Can two acute angles form a linear pair? (a) 90° (a) x = 75° (iv) Can two adjacent angles be supplementary? 2. sometimes. (c) 175° (d) x = 115° Answer. 4. (c) 65° 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. Name a pair of adjacent angles. (d) None of these. (b) 55° (b) 130°, 50° Answer: (c) 15° (c) 45° – 145° Solution: Question 13. (iii) Two obtuse angles can form a linear pair. (b) 180° (d) 50° ∠ y + ∠ x = 60° + 120° = 180° Have one common side "op". Answer: (a) 70+ 20 Answer: (b) 125° Answer: (c) Two right angles can form a linear pair (b) 50° (b) 65°, 125° (b) Scale (d) None of these. Can two adjacent angles be complementary? (a) Perpendicular lines (a) 65°, 115° (b) 90° These are alternating angles. (c) 135° If two congruent angles form a linear pair, then _____. 3. (c) unequal (b) 90° Two obtuse angles are complementary. (c) 49° (b) An acute angle (a) 45° E. The last statement of a proof should be the statement of what you are trying to prove. Example 2: the angles form a line (linear pair) therefore they are supplementary Example 3: the angles can be non-adjacent as long as their sum is 180° 110°+ 70° = 180° The sum is 180° therefore they are supplementary. 18. Answer: (a) 20° Two angles in a linear pair are adjacent to each other. (b) 55° (a) 180° (d) x = 45 Question 5. (a) 70+ 20 7. Answer/Explanation. Pairs of alternate exterior angles, Answer: \(\angle 1\) and \(\angle 8\), \(\angle 2\) and \(\angle 7\), Question 6. (d) 80°, 10°, Question 11. 3. (b) 47°, 133° (d) 95°, Question 9. Answer: (b) (a, b) and (c, d) (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. Question 12. Find the value of x in the given figure if lines \( p \parallel q \) : (c) 10° (c) A right angle Yes Are ∠1, ∠2 a linear pair? Explanation: A linear pair of angles is formed when two lines intersect. What do we call an angle which exactly measures 90°? (b) 75° Yes Are ∠1, ∠2 a linear pair? (a) 55° (a) Compasses No! One acute and one obtuse angle can form a linear pair. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. If ED AC , what conclusions can be reached in one or more steps? In the given figure, the value of x that will make AOB a straight line is (a) supplementary Answer: true. Suppose two angles ∠AOC and ∠ BOC form a linear pair at point O in a line segment AB. (b) x = 60° (a) 45° The vertex of the angle is called this point and its arms or sides are called the two rays forming the angle. (d) Infinitely many, Question 19. What happens to the measurement of an angle after the extension of its arms? Measure of the supplement of 55° : What are the lines which lie on the same plane and do not intersect at any point called? If Two Angles Form A Linear Pair, The Angles Are Supplementary. (d) 130° (d) None of these. Pair of interior angles on the same side of the transversal, Answer: \(\angle 3\) and \(\angle 5\), \(\angle 4\) and \(\angle 6\). definition of obtuse angle. Two Adjacent Angle Can Be Complementary Too If They Add Up To 90°. (b) Intersecting lines Question 25. (c) 175° (c) 35° Solution: Question 5. (vii) Can two right angles form a linear pair? Name a linear pair. (ii) ∠AOC and ∠COB are ……….. angles. of ∠EOA. (b) 30° (a) 1 Pairs of alternate interior angles, Answer: \(\angle 3\) and \(\angle 6\), \(\angle 4\) and \(\angle 5\), Question 5. Solution: Question 11. (c) x = 105° (a) 55°, 115° (viii)Angles formed by two intersecting lines having no common arms are called ……….. 1. Students are advised to solve the Lines and Angles Multiple Choice Questions of Class 7 Maths to know different concepts. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. Solution: Let x be the required angle. Question 4. (b) 5 If two lines are parallel then sum of interior opposite angles is 180°. Question 27. (vi) Can an acute angle be adjacent to an obtuse angle? Linear pairs of angles are adjacent and are supplementary, that's they add upto 180°. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (b) 30 + 45 (b) x = 35 (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (b) supplementary (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. (c) 65° Are ∠1, ∠2 a linear pair? MCQ Questions for Class 7 Maths with Answers, NCERT Solutions for Class 12 Hindi Vitan Chapter 4 डायरी के पन्ने, NCERT Solutions for Class 12 Hindi Vitan Chapter 3 अतीत में दबे पाँव, NCERT Solutions for Class 12 Hindi Vitan Chapter 2 जूझ, NCERT Solutions for Class 12 Hindi Vitan Chapter 1 सिल्वर वैडिंग, NCERT Solutions for Class 12 Hindi Aroh Chapter 18 श्रम-विभाजन और जाति-प्रथा, मेरी कल्पना का आदर्श समाज, NCERT Solutions for Class 12 Hindi Aroh Chapter 17 शिरीष के फूल, NCERT Solutions for Class 12 Hindi Aroh Chapter 16 नमक, NCERT Solutions for Class 12 Hindi Aroh Chapter 15 चार्ली चैप्लिन यानी हम सब, NCERT Solutions for Class 12 Hindi Aroh Chapter 14 पहलवान की ढोलक, NCERT Solutions for Class 12 Hindi Aroh Chapter 13 काले मेघा पानी दे, NCERT Solutions for Class 12 Hindi Aroh Chapter 12 बाज़ार दर्शन. A pair of complementary angles is Question 14. The figure shows the design on an outdoor fence. (vi) Angles of a linear pair are as well as ……….. Can two adjacent angles be complementary? (a) 0° – 90° Solution: Question 8. (a) 45°, 45° (b) 63°, 27° Find the complement of each of the following angles: Solution: Question 3. (b) x = 95° (b) 0° Supplementary angles are linear pairs. (c) 75° Answer: (b) 30°, 150° The sum of the measures of two angles is 180°, the angles are called ………… angles. an angle with measure equal to 90. Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. (c) 120° Question 2. (c) none of these. Are two alternate angles equal if a transversal intersects two parallel lines ? As sum of two angles is neither 90° nor 180°. (b) 2 (d) Set squares, Question 24. (a) 45° Answer: Yes, two right angles will form a linear pair as their sum is which is the sum of angles in linear pair. Answer: (a) \( l \parallel m \) (c) 60°, 120° Can two obtuse angles be adjacent angles? (a) x = 60° (c) 112°, 68° Question 18. 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