108. Example 4: 1 and 2 form a linear pair so m 1 + m 2 = 180° therefore the angles … (vi) 30° is one-half of its complement. Question 33. (d) 30°, Question 17. For #1-6, use the figure at the right. Question 2. (b) 35°, 55° (b) 45° State the property that is used in each of the following statements: If two lines are parallel then corresponding angles are equal. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180 o. Solution: Choose the correct answer from the given four options (4 to 14): (a) 65° (b) x = 60° How many rays can be drawn from a given point? (c) 75° Question 4. 1. (b) An acute angle Question 4. (c) 135° Answer: true. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. (a) complementary (c) 25°, 75° (c) 175° (b) 30°, 150° Since the non-adjacent sides of a linear pair form a line, a linear pair of angles is always supplementary. 104. Then the values of x and y are respectively: (b) 15° (c) 60°, 120° (b) 30 + 45 What is the measure of the complement of 65°? Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Answer: (b) (a, b) and (c, d) https://www.answers.com/Q/Can_two_obtuse_angles_form_a_linear_pair (a) 90° In the given value of x is : In the given figure, the value of x that will make AOB a straight line is Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. Can two right angles forms a linear pair ? a. (a) 2 (d) None of these. Sum of supplementary angles is 180°. Answer: (a) \( l \parallel m \) (a) 30° (a) a linear pair of angles 4. If the supplement of an angle is 65 o, then find its complement. (vii) Adjacent angles have a common vertex, a common ……….. and no common ……… (b) obtuse (iii) Supplement of an obtuse angle is ………. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is 3. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Can two obtuse angles be adjacent angles? (b) x = 60 (d) A reflex angle, Question 20. (c) 112°, 68° (b) 95° (c) Corresponding angles (b) 50° Question 6. (d) Cannot be said, Question 7. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. Measure of the supplement of 0° : 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. (a) Two acute angles can form a linear pair. (d) Collinear lines, Question 15. (d) x = 115° What is a pair angle? One acute and one obtuse angle can be supplementary. (c) No relation. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. (c) 63°, 27° (c) 40° 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 Solution: Question 1. A line that intersects two or more lines at distinct points is called E. The last statement of a proof should be the statement of what you are trying to prove. Sum of linear pair is 180°. Answer: (a) 55° (b) 180° State whether the following statements are true (T) or false (F): A pair of supplementary angles is (b) 90° (iv) Two adjacent angles always form a linear pair. Find the angle, which is equal to its supplement. (b) Intersecting lines (d) None of these. (b) 125° Question 27. (a) 50°, 120° Answer. (a) x = 75° (d) None of these. If two adjacent angles are supplementary, then they form _________ . (c) 120° Sum of supplementary angles is 180°. They do not form a straight line. What are the lines which lie on the same plane and do not intersect at any point called? What is the supplement of 105° The sum of all angles around a point is Two angles in a linear pair are adjacent to each other. i.e., ∠AOB, ∠AOE; ∠AOE, ∠EOD and ∠EOD, ∠COD Page No. Two lines intersect and the vertically opposite angles so formed are ………………. (c) unequal Find the angle, which is equal to its complement. Answer: (a) x = 60° (xi) Alternate interior angles have one common ………… (c) Remains the same (c) None of these. Answer: (a) 70+ 20 definition of obtuse angle. An angle is a figure where, from a common position, two rays appear. (d) 80°, 10°, Question 11. (c) none of these. (d) 112°, 68°, Question 5. I. If you have any other queries regarding CBSE Class 7 Maths Lines and Angles MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution. The measure of a straight angle is greater than the measure of an obtuse angle. Vertically opposite angles are equal. Suppose two angles ∠AOC and ∠ BOC form a linear pair at point O in a line segment AB. 7. In the gitsen figure, if l || m then the value of x is If the sum of two adjacent angles is 180∘ 180 ∘, then they are called a linear pair of angles. They 'supplement' each other to make the total equal 180 degrees. (Why?) (c) (a, c) and Answer. Are ∠1, ∠2 a linear pair? (a) supplementary always. (a) 130°, 50° A supplementary angle is either one of a pair of angles which, together, add up to exactly 180 degrees. Solution: Question 9. (b) 55° Solution: Let x be the required angle. (a) 45°, 45° Sum of complementary angles is 90°. Answer. The figure shows the design on an outdoor fence. Name an angle supplementary to . (d) None of these. Measure of the supplement of 55° : Question 6. Two angles forming a linear pair are ……………. (a) Perpendicular lines (c) 80° (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) 75° (vii) Can two right angles form a linear pair? The measure of one angle is 24 more than the measure of the other angle. (a) 0° (d) None of these. (c) 100° Yes Are ∠1, ∠2 a linear pair? (d) None of these. (v) If two adjacent angles are supplementary, then they form 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 (b) 30° (d) None of these. Identify supplementary pair of angles : Students can download the Lines and Angles Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Can an acute angle be adjacent to an obtuse angle? (d) a ray, Question 32. (b) 75° (a) 1 If ED AC , what conclusions can be reached in one or more steps? 3. (a) 65°, 115° (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. (ix) If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are …….. (c) 360° (iii) ∠AOC is ………… of ∠COD. Are two alternate angles equal if a transversal intersects two parallel lines ? (d) Infinitely many, Question 19. (a) Two acute angles can form a linear pair. (i) If two angles are complementary, then the sum of their measures is ……….. 25. Answer: (d) Explanation : then each pair of alternate interior angles are equal. (b) 50° (b) 50°, 130° (b) 65°, 125° Answer: (b) 180° (a) 45° Can two acute angles form a linear pair? Name two acute vertical angles. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. If two angles are supplementary then the sum of their measures is __________. Question 14. Which instrument is used to measure or construct angles? (d) 95°, Question 9. (c) 15° (a) 180° Pair of interior angles on the same side of the transversal, Answer: \(\angle 3\) and \(\angle 5\), \(\angle 4\) and \(\angle 6\). 3 is a right angle II. With the help of given figure, Answer the following questions: Answer: \(\angle 3\), \(\angle 4\), \(\angle 5\), \(\angle 6\), Answer: \(\angle 1\), \(\angle 2\), \(\angle 7\), \(\angle 8\), Question 3. Complementary pair of angles : 5. (b) 55° (xii) Corresponding angles are on the ……….. side of the transversal. (vi) Can an acute angle be adjacent to an obtuse angle? (d) 150° 18. In the given figure, AB is a straight line and OD ⊥ AB. 3. Observe the figure and fill in the following blanks: Identify which of the following pairs of angles are 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. Intersecting lines form linear pair of angles. Solution: Question 8. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. (a) 0° – 90° So, x + 65 o = 180 o. x = 180 o – 65 o. x = 115 o Complementary to 95° angle is : Sum of complementary angles is 90°. Two angles form a linear pair. Question 31. (d) x = 45 Identify which of the following pairs of angles are complementary. Question 1. (c) right D. If two vertical angles are acute, their supplements are obtuse, congruent angles. (c) 10° Are ∠1, ∠2 a linear pair? In the given figure, if l || m then the value of x is 19. The pairs of angles are nothing but the two angles. (a) An obtuse angle (i) Fig 5.11 (ii) Question 7. The sum of the measures of two angles is 180°, the angles are called ………… angles. Yes Are ∠1, ∠2 a linear pair? (a) x = 60° Find the complement of each of the following angles: Solution: Question 3. (b) 90° (d) None of these. When the intersecting lines are perpendicular, each linear pair will be right angled. Two lines are parallel if alternating angles are equal. (b) x = 95° Question 3. Find the measure of each angle. (vii) If two lines are cut by a transversal, Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. 2. None of these, as sum of complementary angles is 90°. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. (c) 90° (vi) Angles of a linear pair are as well as ……….. Answer: No two obtuse angles cannot form a linear pair as their sum will exceed , but the sum of angles in linear pair is . (b) 63°, 27° 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. (c) 85° What do we call an angle which exactly measures 90°? The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° 14. Answer: (b) 125° The other two pairs of angles are adjacent but they do not form a linear pair. (c) 80° (c) 0 + 95 (iii) Two obtuse angles can form a linear pair. (b) Scale Can two acute angles form a linear pair ? an angle with measure greater than 90 and less than 180. definition of right angle. The vertex of the angle is called this point and its arms or sides are called the two rays forming the angle. Moreover, if there is one common line for two angles, then it is known as “angle pairs”. 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. 1. If in the given figure \( l \parallel m \) then : (d) 27°, 53° (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (180°, 5°) pair of angle is given : The sum of the measures of two angles is 90°, the angles are called ………….. angles. Students are advised to solve the Lines and Angles Multiple Choice Questions of Class 7 Maths to know different concepts. Solution: No, two acute angles cannot form a pair of supplementary angles. (c) x = 30 sometimes. If Two Angles Form A Linear Pair, The Angles Are Supplementary. (a) 45° Adjacent angles have a common …………… and a common …………………, 4. (a) An obtuse angle Give reason in support of your answer. (c) A zero angle (v) Can two obtuse angles be adjacent? (a) Doubles (b) equal Two obtuse angles are complementary. Solution: Question 10. Right angle. (viii) If two lines are cut by a transversal, State whether the given statements are true or false: Question 1. Name a pair of complementary angles. (c) Parallel lines Question 22. Sum of two angles is 90°. Complementary to 0° angle is : (a) 70+ 20 4. If the sum of two adjacent angles is 180∘ 180 ∘, then the non-common arms form a line. Question 18. Question 29. (c) 35° The measure of an angle is three times the measurement of its complement. Fill in the blanks: (d) 4 Are two alternate angles equal if a transversal intersects two parallel lines ? The two axioms mentioned above form the Linear Pair Axioms and are very helpful in solving various mathematical problems. A reflex angle is called an angle which is greater than 180 degrees but less than 360 degrees. Answer. However, just because two angles are supplementary does not mean they form a linear pair. (b) transversal One acute and one obtuse angle can form a linear pair. (iv) Two adjacent angles always form a linear pair. Question 25. Can two obtuse angles form a linear pair ? Explore numerous MCQ Questions of Lines and Angles Class 7 with answers provided with detailed solutions by looking below. ... Two angles whose degree measures sum to 180 form a linear pair. Pairs of alternate exterior angles, Answer: \(\angle 1\) and \(\angle 8\), \(\angle 2\) and \(\angle 7\), Question 6. Can two obtuse angles form a linear pair ? (b) x = 35 (b) 90° The measure of one angle is 15 less than half the measurement of its supplement. Question 85. Name a linear pair. (d) 130° (d) none of these, Question 30. Question 8. Solution: Question 13. Complementary to 70° angle is : Name two acute adjacent angles. 13. No! right angles theorem. (c) x = 105° In the given figure value of x is : Answer: (d) None of these (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. Can two right angles form a linear pair? Question 3. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 5 Lines and Angles Objective Questions. (c) 35° 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. Step-by-step explanation: When two lines intersect, a linear pair is formed, two angles being linear pair means the sum of those two angles is 180°. Can two right angles forms a linear pair ? Two angles form a linear pair. Answer: (c) Two right angles can form a linear pair Name a pair of adjacent angles. Question 10. Name two acute vertical angles. Sum of supplementary angles is 180°. (d) None of these. If one angle of a linear pair is acute, then the other angle is The measure of one angle is 8 times the measure of the other angle. 12. (a) 90° What happens to the measurement of an angle after the extension of its arms? If two congruent angles form a linear pair, then _____. (d) 90°, Question 23. (d) Set squares, Question 24. (b) A straight angle If two lines intersect at a point, then the vertically opposite angles are always ________ . (d) 45°, Question 3. (d) None of these, Question 34. Solution: Question 14. (d) 30°, Question 28. (c) 65° (d) none of these. always. (d) None of these. One angle will be acute and the other obtuse; such that they are supplementary. 1. Measure of the supplement of 100° : vertical angles are congruent. (iii) Two obtuse angles can form a linear pair. Question 4. vertical angles theorem. (c) 65° As sum of two angles is neither 90° nor 180°. (i) ∠AOC and ∠COE form a pair of ……….. angles. Which of the following pairs of angles form a linear pair? 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. (a) 55°, 115° (d) None of these, Question 26. Question 2. 24. Solution: Question 3. (a) 45° In the given figure, PA || BC || DQ and AB || DC. (b) 180° (xiii) Alternate interior angles are on the ………… side of the transversal. Solution: Question 12. (c) 3 (a) 40° Supplementary angles are linear pairs. Solution: Question 6. (a) \( l \parallel m \) then each pair of corresponding angles are equal. (b) 47°, 133° (b) supplementary m 1 = 90 III. Linear pairs of angles are adjacent and are supplementary, that's they add upto 180°. (x) Two lines in a plane which never meet are called ………. (ii) ∠AOC and ∠COB are ……….. angles. (b) 5 (b) 2 These are alternating angles. (d) x = 25 Solution: Question 5. Practicing the MCQ Questions on Lines and Angles Class 7 with answers will boost your confidence thereby helping you score well in the exam. (c) Both of the angles forming a linear pair can be obtuse angles. Solution: Question 11. (ii) Two acute angles can form a linear pair. No,two obtuse angles can't form a linear pair. (c) Protractor Indicate vertically opposite angles : Name two obtuse vertical angles. Find the value of x in the given figure if lines \( p \parallel q \) : Can two adjacent angles be complementary? Answer: true. Can two adjacent angles be complementary? Can an acute angle be adjacent to an obtuse angle? 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