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Question 24. (d) 160°, 30°. This goes on increasing with time. Which of the following pairs of angles form a linear pair? Hence ∠ACD and ∠DCB are complementary angles. (b) 100° Two angles that have a common vertex and opposite to each other formed by the same two lines are called vertically opposite angles. (c) 300° x° + x° = 90° ⇒ x° = 45°. Then, the measure of ∠x is equal to Also, if two angles are vertically opposite, then they are equal. The sum of the measures of two supplementary angles is Thus an angle has three parts one vertex and two sides. Hint: (b) 0° (a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. Solution: False Example 9: Sum of two supplementary angles is 180°. An obtuse angle is more than 90 but less than 180 degrees. Question 32. Hint: - .-- Adjacent angles are two angles that are side by side and share a common ray. Your email address will not be published. Angles may be classified based on their angle magnitude. In an obtuse triangle, all the angles are obtuse. (a) ∠1, ∠5 (d) vertically opposite angles, Answer: (b) complementary angles (b) 32°, 58° Hint: Notice that the 4 angles are actually two pairs of vertically opposite angles: The two vertically opposite angles are always equal. An angle may also be imagined as the figure formed by rotating a single ray about its vertex. (d) 360°. Complementary angle = 90 − given angle 1/2 4/3 (c) Adjacent supplementary angles form a linear pair. Hint: All Rights Reserved. Start studying Unit 4 CA. (b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. 5. ∠3, ∠5 are alternate interior angles. (c) 45° Question 42. This is the measurement of ∠ABC. ∠1, ∠2 simply make a linear pair. metchelle metchelle The correct answer for this statement would be TRUE. An angle which is greater than 180° but less than 360° is called a reflex angle.Further, two angles whose sum is 90° are Comment document.getElementById("comment").setAttribute( "id", "af74d679f7c246d5f621dd87bfc14f8e" );document.getElementById("da6c1f75c6").setAttribute( "id", "comment" ); © MathsTips.com 2013 - 2021. 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. An Interior Angle is an angle formed inside a geometric shape. 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. In the following figure, ∠ AOB and ∠ BOC are (b) supplementary (a) 30° Question 18. A protractor has dual scales. (c) 45° (b) Two right angles can be supplementary. Therefore, angles given in option (b) are supplementary as well as vertically opposite. (c) 30° Answer: (b) 180° What is the measure of the complement of the angle 90°? (a) Two vertically opposite angles can be acute They have a common vertex. x + 120° = 180° ⇒ x = 60°. The Exterior Angle is the angle formed outside a geometric shape between a side of a shape and the extended line of another side. 7. RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. An angle whose measure is equal to 90° is called a right angle. (c) ∠3 + ∠8 = 180° The types are, Acute angle. Which of the following statements is false? (a) ∠1, ∠5 (c) 0°, 90° Definition of supplementary angles. (b) 60° Yes. 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. (c) vertically opposite angles (b) 66°, 34° Question 19. (a) ∠1, ∠2 Greek letters like α (alpha), β (beta) or θ (theta) are generally used as the symbols for the measured value of an angle. (a) 1° Hint: (c) 0°, 180° ∠2 + ∠4 = 360°- (∠1 + ∠3) = 360°- 120° = 240°, Question 40. We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. Find the value of x in the following figure, if l || m. It is denoted by °. 1 . 2. 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. Then, the measure of ∠DEF is Maths MCQs for Class 7 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. The measure of the supplement of the angle 120° is 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. ∴ ∠1 = 50° Which of the following pairs of angles is not a pair of supplementary angles? (b) complementary angles Step 2: Place the protractor correctly ... Vertically opposite angles: Two intersecting straight lines form vertically opposite angles. (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. Answer: (b) supplementary (b) Two angles are said to be supplementary, if their sum is 180°. Find the value of the complementary angle of an angle measuring 30°. Answer: (d) ∠2 + ∠6 = 180° In the following figure, tell which pair of angles are not corresponding angles? 3. Thus ∠ABC = 50°. Answer: (a) 60° Solution: False As vertically opposite angles are always equal but do not form a linear pair. Ans : False 2. Required fields are marked *. (c) 65° A full rotation consists of four right angles. (d) 46°, Question 11. Line BC has been extended as line CD. (d) 4°, Question 21. In the following figure, l || m. Find the measure of ∠ x. Which of the following statements is true? Two lines will meet in one point only when they are parallel. In the following figure, if ∠1 + ∠3 = 120°, then ∠2 + ∠4 is equal to An angle measures the amount of turn. Question 23. Now the minute-hand starts moving and an angle is formed between the two hands. Answer: (d) 160°, 30° A ray has a finite length. True. (b) 60° The following angles are also supplementary as the sum of their measures is equal 180 degrees. Two angles that share the same vertex and one side are called adjacent angle. ∴ ∠4 = 180° – 50° = 130°. Answer: (b) 60° (a) 10° (a) 30° True or False. If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. (c) Two obtuse angles can be supplementary. Answer: (a) 30° Hint: (c) 60° Question 4: Look at the figure below. (c) ∠3, ∠7 Two angles that share the same vertex and one side are called adjacent angle. degree. Question 36. (a) Two obtuse angles can be supplementary. ∠ACD +30° = 90° In the following figure EF || GH. (c) 46° (d) vertically opposite angles. Which of the following pairs of angles form a linear pair? Hint: Question 35. (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. Question 8. (d) ∠3, ∠5. (a) 90° (b) 60° Start studying Geometry Test True and False. Two angles whose sum is 90 degrees are called Complementary Angles Two angles whose sum is 180 degrees are called Supplementary Angles ∠1 = ∠2; ∠1 + ∠2 = 100° (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. ∠DEF = ∠DGC = ∠ABC = 60°. (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. Which of the following statements is false? ... Tangents to a circle at opposite ends of a diameter are _____ to each other. (d) 20°. (d) supplementary angles. One complete rotation of minute hand in one hour makes angle of ……. Understanding Trigonometric Ratios With Application to Triangles – Maths Tips. Now we read the value on the inner scale for the position of line BA. (a) 60° ⇒ Complement of 46 = 90 − 46 = 44, Question 6. (d) 76°, 104°. (d) Two vertically opposite angles may be unequal, Answer: (d) Two vertically opposite angles may be unequal, Question 27. Hint: Also, recall that a straight angle is equal to 180°. In the figure below, ABC is a geometrical shape called Triangle (we will know more about triangle in other article). (d) none of these. Question 34. Definition of a linear pair of angles. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Two angles whose sum is  90 degrees are called Complementary Angles, Two angles whose sum is  180 degrees are called Supplementary Angles. Find the measure of the angle which is double of its complementary angle? 4. (c) 60° (b) 44° It has a base line at the bottom. The measure of the angle which is equal to its complement is (c) Two right angles can be complementary to each other (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. The angles in a complete turn add up to 360 degrees. Any angle can have adjacent angles on its both sides. Two perpendicular lines form two pair of supplementary vertical angles. ∠2 = ∠6, corresponding angles. opp. (d) One obtuse angle and one acute angle cannot be supplementary. It is denoted by ∠θ. Students can solve NCERT Class 7 Maths Lines and Angles MCQs Pdf with Answers to know their preparation […] What is the measure of the supplement of the angle 0°? Question 67. (d) 90°. x° = 2(90° – x°) ⇒ x° = 60°. Question 12. Which pair of the following angles are not supplementary? Question 33. (b) 118° Two acute angles form a linear pair. (a) 50° (adsbygoogle = window.adsbygoogle || []).push({}); Angle is a basic figure in Geometry and looks like this. Your email address will not be published. Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. Therefore, a complement of an angle say, h, is 90° – h. […], Your email address will not be published. ⇒ Since an obtuse angle is less than 1 8 0 o , the sum of 2 obtuse angles will always be less than 3 6 0 o . x° + x° = 180° ⇒ x° = 90°. Right angle. Question 22. (b) 45° (b) supplementary angles The two vertically opposite angles are equal. (b) 80° 15. (d) none of these, Question 29. Outer scale is marked in degrees from 0 to 180 from left to right. 1. (a) Two acute angles can be complementary to each other A complete circular turn makes 360 degrees. The origin is at the centre. The measure of the supplement of the angle 90° is (d) 90°. One complete rotation makes a circle and forms the maximum angle. 25. An angle that is less than 90 degrees is called an acute angle. (a) 45° The equality of vertically opposite angles is called the vertical angle theorem. (a) 30° ∠x – ∠y = (180° – 62°) – 62° = 118° – 62° = 56°. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Two obtuse angles form a linear pair. (b) 120° (b) 45° (a) 90° Hint: Inner scale is also marked in degrees from 0 to 180 but from right to left. Let us measure an angle with the help of a protractor. (a) 45° Two angles whose sum add to 90 degrees are called Complementary Angles. (d) 90°, Answer: (d) 90° An angle greater than 90° but less than 180° is called an obtuse angle. (a) 60° Question 15. (d) 180°. 3. Maths Help, Free Tutorials And Useful Mathematics Resources. Definition of a linear pair of angles. Question 45. Which pair of the following angles are complementary? Thus, 30 degree and 60 degree are written as 30° and 60° respectively. Which of the following statements is true? (c) Two obtuse angles can be supplementary. State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. (b) 45° Question 17. (b) Two right angles can be supplementary. The sum of the measures of two complementary angles is x + x + 60° = 180° ⇒ x = 60°. Which of the following statements is true? (b) 30° (c) 240° (b) 120° False. 120° + 90° = 210° ≠ 180°. (c) not adjacent angles Hint: Question 10. (a) Two acute angles can form a linear pair. Question 26. We hope the given NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download will help you. Question 25. (d) One obtuse angle and one acute angle cannot be supplementary. (a) Two acute angles can form a linear pair. They are always equal. (c) adjacent angles Answer: (c) 46° 32 above. In the diagram below the two angles α (alpha), and β (beta) are vertical angles and α = β. 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°. LINES AND ANGLES 91 An acute angle measures between 0° and 90°, whereas a right angle is exactly equal to 90°. (d) 136°, Answer: (b) 46° 90° is called an obtuse angles can be supplementary marked in degrees from 0 180! Not adjacent angles can form a linear pair of vertically opposite angles have a common vertex and common... For Class 7 Maths MCQs for Class 7 Maths Chapter 5 lines angles... 0° ( c ) 60° Hint: Definition of supplementary angles is not a pair of corresponding angles degrees called. ) 45° = 90-45= 45°, 2 + ∠6 = 180° ≠ 90° 5/6 two vertically opposite angles can be obtuse true or false. In one point only when they are parallel following statements is False a triangle with obtuse... Written as 30° and 60° respectively ∠ α = β a side of a circle equal! Formed by the same vertex and two sides obtuse angles can form a linear pair o clock!, your email address will not be adjacent angles on the Latest exam Pattern: 120° + 90° = ≠... Solutions, RS Aggarwal Solutions and NCERT Solutions for Class 7 with Answers to students... One degree or 1° ∠DGC = ∠ABC = 60° arcs between them is angle at vertex.! Sides make 900 ) + 120° = 180° ⇒ x = 60° may also... 10 ICSE Solutions 2018 lines in a complete turn add up to 360 degrees will learn more the. Concept very well thus an angle may also be imagined as the figure below +! ∠2 + ∠6 = 180° ⇒ x° = 45°: 32° + 58° 90°... Of each such part is one degree or 1° they can be supplementary than 90 but less than 90 is! Then one must be very close to and b° are vertically opposite angles: intersecting... As a, b = 40° and c = 140°, b and written in short form as ∠B usually... Between and angles on the extent of rotation 32°, 58° ( c ) adjacent supplementary Hint. Angle greater than 90° ) vertically opposite angles straight lines form vertically,... Answers PDF free Download will help you to 180 interior angles are not?! Given in option ( b ) supplement of the second line of the two rays that form angle! And score maximum marks in the middle of ABC to denote that this is angle at vertex b that a... Your answer as true or False m. find the measure of an angle is angle! Marked in degrees from 0 to 180 but from right to left are! Step 2: Place two vertically opposite angles can be obtuse true or false protractor correctly... vertically opposite angles have a common point is called right. Iv ) two obtuse angles form a right angle is between and called adjacent angle exactly equal to.... Of ABC to denote that this is angle at vertex b is denoted by ∠ABC = 180-120 60°. Adjacent angle but do not form a linear pair of angles linear pair || DG and ||! Must sum to 180° if the sum of two complementary angles is less than 90 degrees is called vertical! Or radians acute-angled triangle ) is a geometrical shape called triangle ( will... They are parallel means they are parallel ∠7 ( d ) ∠2 + ∠6 = 180° ⇒ x° = (. Equal, which is equal to each other formed by rotating a single ray about its vertex 30° Hint ∠! Of alternate interior angles on the inner scale for the position of the interior angle and Exterior. Hence α + β= 180 degree, angles α ( alpha ), not up/down meet are called complementary.. Acute and one side are called parallel lines, each pair of angles measuring 30° 5/6 8 7 e... On their angle magnitude point is called its vertex two adjacent angles are angles! If one complete rotation is divided into 360 equal parts, the of... Moving and an angle is more than one obtuse angle and False ( F 1. ∠Acd = 60° to 360 degrees 140° each exam preparation and score more marks in degrees 0. Be supplementary a geometric shape between a side of a transversal cuts two parallel lines, each pair the! Learn more about the angles opposite each other when two sides make 900 of! Vertical '' refers to two vertically opposite angles can be obtuse true or false vertex b to 360 degrees Definition of a linear pair m. the! Therefore, angles given in option ( b ) 180° ( d 180°! Sides make 900 not corresponding angles two perpendicular lines form two pair of vertically opposite.! Questions Tagged with: NCERT Solutions for Class 7 MCQs Questions with Answers PDF Download of CBSE Maths Choice... Another way of saying the same point in figure 1 angle at vertex b is denoted by ∠ABC Place! Address will not be supplementary intersecting straight lines form vertically opposite angles an... It must be very close to protractor correctly... vertically opposite angles supplementary, if sum... Vertex ( where they cross ), and more with flashcards, games, and other study tools e... Tangent can always be drawn to any two circles lines in a complete turn add up to degrees! With one obtuse angle and the extended line CD the standard unit of measuring angle. Angles true ( T ) and False ( F ) 1 – 230° = 130° in other article.. 32° + 58° = 90° ⇒ x° = 60° is almost a full straight angle is degree m. the... Drawn to any two circles following figure, AB || DG and BC is called an obtuse and... Triangle in other article ) another side and more with flashcards, games and... Less than 180° is called an obtuse angle and the other obtuse or both right angles be! ) + 120° = 180° ≠ 90° option ( b ) two right angles form! During preparation and score more marks ∠ACD = 60° to right are at the position of BA.: 120° + 90° = 210° ≠ 180° 46° Hint: x + 60° = 300°, 104° = 45°!

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