(a) adjacent angles Question 67. Thus an angle has three parts one vertex and two sides. (b) 118° - .-- The equality of vertically opposite angles is called the vertical angle theorem. (iv) Two adjacent angles always form a linear pair. Question 10. x + x + 60° = 180° ⇒ x = 60°. If two adjacent angles are complementary they form a right angle. (b) supplementary Required fields are marked *, Concise Mathematics Class 10 ICSE Solutions 2018. Definition of complementary angles, Question 3. The standard unit of measuring an angle is degree. State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. Start studying Unit 4 CA. Question 3: Look at the figure below. (d) none of these. (b) 120° What is the measure of the supplement of the angle 0°? True or False. Question 13. (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. 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Search. The origin is at the centre. (b) 120° An angle is a figure formed by two rays meeting at a common point. Each of the two rays that form the angle is called the arms or sides of the angle. 7. Which of the following statements is true? The two vertically opposite angles are equal. Learn true false questions geometry with free interactive flashcards. Answer: (a) 56° (x) Two lines in a plane which never meet are called parallel lines. (b) 60° Introduction to Point, Ray, Line and Line-Segment, Click to share on Facebook (Opens in new window), Click to share on Twitter (Opens in new window), Click to share on LinkedIn (Opens in new window), Click to share on Reddit (Opens in new window). Hint: (a) 30° In the following figure, if ∠1 + ∠3 = 120°, then ∠2 + ∠4 is equal to ∠x – ∠y = (180° – 62°) – 62° = 118° – 62° = 56°. (a) 60° (c) ∠1, ∠5 Question 12. Answer: (a) ∠1, ∠2 An obtuse angle is more than 90 but less than 180 degrees. ∠1, ∠2 simply make a linear pair. Two vertically opposite angles are always equal. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. (c) 60° (c) 120° Question 36. (d) 120°. ∠DEF = ∠DGC = ∠ABC = 60°. Answer: (d) 130° Choose from 500 different sets of true false questions geometry flashcards on Quizlet. What is the measure of the complement of the angle 90°? ... At least one common tangent can always be drawn to any two circles. (a) 10° Which pair of angles are alternate interior angles? (d) none of these. This may be also simply called angle B and written in short form as ∠B. Two acute angles form a linear pair. Question 43. This is the measurement of ∠ABC. The measurement of a straight angle is. Two angles whose sum is  90 degrees are called Complementary Angles, Two angles whose sum is  180 degrees are called Supplementary Angles. (a) complementary angles 3. (a) 30° 10. ∠2 = ∠6, corresponding angles. Browse. Inner scale is also marked in degrees from 0 to 180 but from right to left. (d) One obtuse angle and one acute angle cannot be supplementary. A ray has a finite length. Then, the measure of ∠x is equal to Question 34. Example 8: Sum of two complementary angles is 180°. Angles α and β are Supplementary Angles. (b) 32°, 58° An angle that is less than 90 degrees is called an acute angle. They are abbreviated as vert. The measure of the complement of the angle 46° is Question 1. (b) Two obtuse angles can be complementary to each other opp. (a) 56° The common point is called its vertex of the angle. The angle formed at the vertex B by the two rays AB and BC is called ∠ABC. 1 . (d) 160°, 30°. Also, ∠ABC = 60°. (b) 45° (b) 16° Also, it is not necessary that an angle is formed by intersection of two straight lines; it can be formed by intersection of two curved lines too. Hint: Question 18. The two angles are supplementary angles. (a) Two acute angles can form a linear pair. Two angles whose sum add to 90 degrees are called Complementary Angles. Answer: (a) 130° ∠ 4 = 360° – 230° = 130°. Hint: When the sum of the measures of two angles is 90°, the angles are called Adjacent angles are two angles that are side by side and share a common ray. Solution: It is a right angle and measures 90°, Question 2: Look at the figure below and find ∠ACD, ∠ACB is a right angle (x + 30°) + 120° = 180° ⇒ x = 30°. In the diagram below the two angles α (alpha), and β (beta) are vertical angles and α = β. In the following figure, if ∠1 + ∠2 = 100°, then the measure of ∠4 is equal to (b) 30° (a) Two adjacent angles can be complementary. (b) Two adjacent angles cannot be supplementary (b) supplementary angles (b) 90° ∠ACD +∠DCB = 90° Question 4: Look at the figure below. We may notice that B appears in the middle of ABC to denote that this is angle at vertex B. The types are, Acute angle. (d) ∠3, ∠5. Hint: The two rays that form the angle are known as the sides of the angle. Hint: Ans : True 3. Answer: (b) 180° Notice that the 4 angles are actually two pairs of vertically opposite angles: 2. n (b) Supplement of a right angle is a right angle. The measure of the angle which is equal to its supplement is In the following figure EF || GH. (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. Grade 7 Maths Lines and Angles True(T) And False(F) 1. (c) Two right angles can form a linear pair See the figure of Q. The measure of the supplement of the angle 120° is (b) 60° A pair of vertically opposite angles are always equal to each other. Hint: It is also called semi-circular protractor. Hint: x° = 2(90° – x°) ⇒ x° = 60°. Answer: (b) supplementary The angles in a complete turn add up to 360 degrees. no common arms are called vertically opposite angles. (b) 60° Answer: (d) ∠3, ∠5 True or False. Lines and Angles Class 7 MCQs Questions with Answers. A pair of angles opposite each other, formed by two intersecting straight lines that form an "X"-like shape, are called vertical angles or opposite angles or vertically opposite angles. (b) 180° Any angle can have adjacent angles on its both sides. (c) 16° Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. (c) 46° State true or false: If two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then the other pair of vertically opposite angles will be formed by obtuse angles. Hint: TRUE/FALSE DIRECTION : Read the following statements and write your answer as true or false. Tell which of the following pairs of angles need not be equal? (c) 62° Ans : False 2. 4. (a) 50° The two vertically opposite angles are equal. The two supplementary angles need not necessarily be adjacent angles. Hint: Answer: (a) 60° (b)45° (b) 66°, 34° Which of the following statements is true? (d) 180°. Question 41. (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 obtuse angles. Maths Help, Free Tutorials And Useful Mathematics Resources. When the sum of the measures of two angles is 180°, the angles are called (a) 180° (c) 0°, 180° Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. 16. If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Two angles that have a common vertex and opposite to each other formed by the same two lines are called vertically opposite angles. An angle that is greater than 180 degrees is called a reflex angle. Question 1. Step 2: Place the protractor correctly ... Vertically opposite angles: Two intersecting straight lines form vertically opposite angles. Question 39. The angles in a complete turn add up to 360 degrees. True or false: a pair of obtuse angles can also be vertical angles please provide an explanation :) 1 See answer katelynthekawaii is waiting for your help. Question 20. When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. Hint: (d) Two vertically opposite angles may be unequal, Answer: (d) Two vertically opposite angles may be unequal, Question 27. (d) 80°, Answer: (c) 240° Now we read the value on the inner scale for the position of line BA. (a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. Definition of a linear pair of angles. (d) ∠2 + ∠6 = 180°. (c) 240° (d) 90°. Hint: (d) 160°, Question 4. 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. (adsbygoogle = window.adsbygoogle || []).push({}); Angle is a basic figure in Geometry and looks like this. (c) adjacent angles (c) not adjacent angles In the above example of clock, the two hands initially make smallest angle 0° and on one complete rotation by the minute hand, the two hands make maximum angle and is named as the angle 360 degree or 360°. (b) 100° Question 17. Which of the following statements is true? (d) 90°, Question 14. An angle is generally named by three consecutive alphabets such as A, B and C or X, Y and Z. Hence ∠ACD and ∠DCB are complementary angles. This angle is almost a full straight angle, so it must be very close to . (d) 76°, 104°. (c) 45° Start studying Geometry Test True and False. 1/2 4/3 (c) Adjacent supplementary angles form a linear pair. (b) ∠1, ∠3 (c) 3° False. 3. (d) vertically opposite angles, Answer: (b) complementary angles Required fields are marked *. ∠2 + ∠4 = 360°- (∠1 + ∠3) = 360°- 120° = 240°, Question 40. Hint: An angle greater than 90° but less than 180° is called an obtuse angle. Also, recall that a straight angle is equal to 180°. Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. In the following figure, reflex ∠ AOB is equal to Question 66. 1. (b) 45° ∴ ∠4 = 180° – 50° = 130°. (d) Complementary angles are always adjacent. The size of an angle depends on the extent of rotation. Question 22. Hence α + β= 180 degree, Answer: a = 140°, b = 40° and c = 140°. The measure of the supplement of the angle 90° is (a) 45° (b) 60° (c) 30° (d) 90°. Think of the two hands of a clock at 12 o’clock. (d) 90°, Question 16. Hint: (c) 36° degree. (d) none of these, Question 29. (a) 90° 25. What is the measure of the complement of the angle 80°? (b) ∠2, ∠6 metchelle metchelle The correct answer for this statement would be TRUE. Also, if two angles are vertically opposite, then they are equal. Angles may be classified based on their angle magnitude. Question 45. Answer: (b) 32°, 58° 120° + 90° = 210° ≠ 180°. Two angles that have a common vertex and opposite to each other formed by the same two lines are called vertically opposite angles. (c) 180° 6. An Interior Angle is an angle inside the shape ABC. In the figure below α + β= 180 degree, angles α and β are Supplementary Angles. Definition of supplementary angles. A protractor is used to measure angle. An angle measures the amount of turn. This is 50°. Two perpendicular lines form two pair of supplementary vertical angles. (c) 65° Filed Under: Geometry Tagged With: acute angle, Adjacent Angle, angle, complementary angle, Complete Angle, Exterior Angle, Interior Angle, obtuse angle, Reflex Angle, right angle, Straight Angle, supplementary angle, Vertically opposite angle, […] Complement angles add up to 90°. Solution: True Example 12: In Fig. As ∠β =120°, ∠ α = 180-120 = 60°. (a) ∠1, ∠5 Which of the following statements is NOT correct? 9. (a) Two obtuse angles can be supplementary. Answer: (d) Answer: (b) Two right angles can be supplementary. In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to (c) ∠3, ∠7 (d) none of these. Answer: (a) 60° (d) 130°. Question 26. Hint: Question 37. (a) Two acute angles can be supplementary. (c) 0°, 90° If ∠α =30°, find value of ∠β. A protractor has dual scales. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Hint: ... think of two folders forming a "T" and a pencil going vertically to the left or right of the "T" ... Two angles sharing a common vertex and side, with no common interior points must be adjacent. Solution: True Example 10: Sum of interior angles on the same side of a transversal with two parallel lines is 90°. (c) 360° (ii) Two acute angles can form a linear pair. The angles in a linear pair are (a) 90° If measure of an angle is 90° then its supplement angle will be greater than 90°. (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. Question 25. If two angles are supplementary then one must be acute and the other obtuse or both right angles. (c) Two right angles can be complementary to each other Two angles whose sum is 90 degrees are called Complementary Angles Two angles whose sum is 180 degrees are called Supplementary Angles Hint: Find the measure of the angle which is half of its supplementary angle? If ∠1 is an acute angle, then, which of the following statements is false? (a) ∠1, ∠5 (b) 60° Two angles that share the same vertex and one side are called adjacent angle. Answer: (d) ∠3, ∠5 One complete rotation makes a circle and forms the maximum angle. m 5/6 8 7 (e) Vertically opposite angles have a common vertex and a common arm. (b) 2° (b) ∠2 + ∠5 = 180° 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 Solution: False As vertically opposite angles are always equal but do not form a linear pair. Question 9. The standard unit of measuring an angle is degree. Which pair of the following angles are not supplementary? Try moving the points below. Complementary angle = 90 − given angle This gives a measure of the angle. Let us measure an angle with the help of a protractor. Question 15. Answer: (d) 160°, 30° The magnitude of the angle is the amount of rotation of one arm about the vertex to reach to the position of the second arm. (b) 44° Question 33. The measure of the complement of the angle 30° is (d) One obtuse angle and one acute angle cannot form a linear pair, Answer: (c) Two right angles can form a linear pair. x° = \(\frac { 1 }{ 2 } \)(180° – x°) ⇒ x° = 60°. Question 32. When measuring an angle, the centre of the protractor is placed over the vertex (corner) B of the angle and the base line of the protractor is placed along one of the lines of the angle BC. The sum of the measures of the angles in a linear pair is Find the value of the complementary angle of an angle measuring 30°. Two complementary angles are not necessarily adjacent angles, Two adjacent angles are always supplementary, The two vertically opposite angles cannot be adjacent angles. ∠ACD +30° = 90° (b) Two obtuse angles can form a linear pair (a) 130° Answer: (c) 60° In the following figure, AB || DG and BC || EF. Hint: Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. A protractor is an instrument to measure angle. The two vertically opposite angles are always equal. (b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. Line BC has been extended as line CD. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 7 with Answers Chapter 5 Lines and Angles. (а) ∠1 + ∠2 = 180° 2. Hint: Answer: (a) 30° As can be seen from the figure above, when two lines intersect, four angles are formed.Each opposite pair are called vertical angles and are always congruent.The red angles ∠ JQM and ∠ LQK are equal, as are the blue angles ∠ JQL and ∠ MQK. (d) 46°, Question 11. (c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary. (b) 180° (c) 45° The angle measures the amount of turn between the two arms two and is usually measured in degrees or radians. In the following figure, tell which pair of angles are not corresponding angles? Hint: The following angles are also supplementary as the sum of their measures is equal 180 degrees. Hence, two obtuse angles can be adjacent angles. ∠AOB = 360° – 60° = 300°. Hint: Thus ∠ABC = 50°. Question 7. ∠s. Solution: False Example 11: Vertically opposite angles are equal. RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. (d) 90°. (a) 90°, 90° (d) vertically opposite angles. (c) 300° If the sum of 2 angles is less than 3 6 0 o, then they can be adjacent. 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. (a) 60° (d) 120°. We look at the position of the second line of the angle BA. Check the below NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download. Answer: (b) 60° (b) 0° Definition of supplementary angles. (c) 45° In an obtuse triangle, all the angles are obtuse. Then, the measure of ∠DEF is 4. Vertical angles are also called opposite angles. (b) ∠2, ∠6 A complete circular turn makes 360 degrees. (d) none of these. Which of the following statements is true? The sum of two obtuse angles can add up to a straight angle. ... Tangents to a circle at opposite ends of a diameter are _____ to each other. x + 120° = 180° ⇒ x = 60°. The sum of the measures of two complementary angles is x° + x° = 90° ⇒ x° = 45°. (а) 90° The Exterior Angle is the angle formed outside a geometric shape between a side of a shape and the extended line of another side. Question 24. (d) 20°. (b) 45° Your email address will not be published. Hint: Complementary angles need to be adjacent. Answer: (c) 90° (d) 60°. (a) 30° 23. In Geometry we will learn more about the angles with magnitudes between 0 and 360°. Which of the following pairs of angles is not a pair of complementary angles? Definition of a linear pair of angles. How to solve: True or False? Two parallel chords of a circle intercept equal arcs between them. The measure of the supplement of the angle 179° is True. (c) 90° When the sum of the measures of two angles is 90°, the angles are called Ans : False 4. The angles opposite each other when two lines cross. "Vertical" refers to the vertex (where they cross), NOT up/down. Therefore, angles given in option (b) are supplementary as well as vertically opposite. x° + x° = 180° ⇒ x° = 90°. 5. An angle that is between 90 and 180 degrees is called an obtuse angle. (а) 30° It is denoted by °. Which of the following statements is true? (d) ∠2, ∠8. (a) 45° (c) ∠3, ∠7 (a) Two acute angles can be complementary to each other 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. (d) ∠3, ∠5. Thus, 30 degree and 60 degree are written as 30° and 60° respectively. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up … Greek letters like α (alpha), β (beta) or θ (theta) are generally used as the symbols for the measured value of an angle. It is denoted by ∠θ. (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. The sum of the measures of two supplementary angles is (d) 360°. True or False. Question 38. The two angles α (alpha), and β (beta) are vertically opposite angles and so α = β, Question 5: Find the complement of angle 45°, Sum of two complement angles are 90°. Question 19. An obtuse angle is between and . Answer: (a) Two adjacent angles can be complementary. 15. (a) Two acute angles can be supplementary. The measure of the supplement of the angle 90° is (d) Two right angles cannot be adjacent angles. (d) vertically opposite angles. (v) Pair of vertically opposite angles … Hint: (c) 60° An angle whose measure is equal to 90° is called a right angle. 150° + 30° = 180° ≠ 90°. An angle formed by rays AB and BC at vertex B is denoted by ∠ABC. Start studying Geometry true and false. Comment document.getElementById("comment").setAttribute( "id", "af74d679f7c246d5f621dd87bfc14f8e" );document.getElementById("da6c1f75c6").setAttribute( "id", "comment" ); © MathsTips.com 2013 - 2021. A full circle is 360°, so that leaves 360° − 2×40° = 280°. 24. (iii) Two obtuse angles can form a linear pair. In the following figure, l || m. Find the measure of ∠ x. (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. Which of the following statements is false? (b) 45° Question 42. 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. (b) 120° Here they are adjacent angles also. The following angles are also complementary as the sum of their measures is equal 90 degrees, Two angles whose measures add to 180 degrees are called Supplementary Angles. (a) 60° Two obtuse angles form a linear pair. (a) 30° (c) 80° Which pair of the following angles are complementary? Which of the following statements is false? An angle which is greater than 180° but less than 360° is called a reflex angle.Further, two angles whose sum is 90° are Students can solve NCERT Class 7 Maths Lines and Angles MCQs Pdf with Answers to know their preparation […] True Example 10: sum of interior angles the following pairs of angles form a linear pair vertex! Known as the sum of two angles are equal size of an angle is degree 8: sum of supplement...... Verticle angles are two vertically opposite angles can be obtuse true or false supplementary or 1° 60° Hint: x° x°... Marked *, Concise Mathematics Class 10 ICSE Solutions 2018 ( d ) ∠3 ∠5... Option ( b ) two acute angles can be adjacent angles can not adjacent. Was Prepared based on their measure of the following angles are equal 90° ⇒ x° = 2 90°. Questions Tagged with: NCERT Solutions for Class 7 Maths Chapter 5 lines and with... Have more than 90 degrees are called vertically opposite angles have a common vertex two! They can be complementary both hands are at the same point in figure.. During preparation and score more marks, free Tutorials and Useful Mathematics Resources alphabets such a. Of line BA has three parts one vertex and opposite to each other formed by the side! ∠5 are alternate interior angles angles Hint: ∠3, ∠5 ( b two. Two supplementary angles is 90°, 90° ( b ) 45° ( b 60°. Hence α + β= 180 degree, angles α and β are supplementary as as! At the same vertex and two acute angles ( less than 180° is called an obtuse,... Are side by side and share a common vertex and a common vertex and to. Sets of true False Questions geometry with free interactive flashcards both hands are at the same two are. =120°, ∠ α = β their measures is equal to 180° in Euclidean geometry, Euclidean. 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