Answered By. The angle represented by is an acute angle. You know that . An angle is more than 45°. 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. Maths MCQs for Class 7 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. In this chapter, we deal with lines, different kinds of angles and their measurements.The solutions of NCERT class 7 maths chapter 5 lines and angles give an explanation to all these questions. 6. (ii) False. (i) If both angles are acute (less than 90), then their sum can never be 180. A) If two angles forming a linear pair, then each of these angle is of measure\[{{90}^{o}}\]. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Solution : True e.g. (3) one of the angles forming a linear pair can be obtuse angle. the same magnitude) are said to be equal or congruent.An angle is defined by its measure and is not dependent upon the lengths of the sides of the angle (e.g. (iii) Angles forming a linear pair can both be acute angles. Think of acute angles as sharp angles. (ii) obtuse? You can easily calculate a (since you know angle), but you don't know b. The angle which makes a linear pair with an angle of 61° is of (a) 29° (b) 61° (c) 122° (d) 119° 7. Solution : False A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. D) Bisectors of the adjacent angles forming a linear pair form a right angle. Other angle … They form a linear pair of angles if two opposite angles add up to 180 degrees. False. Acute angle: The angle that is between 0° and 90° is an acute angle, ∠A in the figure below. ... Vertically opposite angles are either both acute angles or both obtuse angles. What kind of angle is the other? You can find the area of a sector of a circle if you know the angle between the two radii. The equation of a line is. Acute angle : An angle whose measure is less than 90º. Can two acute angles form a linear pair? Question 12: Find the values of the angles x, y and z in … You can use this information to find the measurement of : Now use the same logic to find the measurement of . The vertex of the angle is called this point and its arms or sides are called the two rays forming the angle. One way to find the alternate interior angles is to draw a zigzag line on the diagram. Question 11. In that case, the sector has 1/6 the area of the whole circle. Ray: A ray has one end point and infinitely extends in one direction. In the coordinate plane above we have two rays $$\overset{\rightarrow }{BA}\: \: and\: \: \overset{\rightarrow }{BD}$$ That form an angle with the vertex in point B. Question 11: In the following figure, is angle 1 adjacent to angle 2? … Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°) Try this Drag the orange dot at M. In the figure above, the two angles ∠ JKM and ∠ LKM form a linear pair. Point B is at (-2, -2) and C (1. Linear pairs: angle 1 and angle 5; angle 5 and angle 4. … A reflex angle is called an angle which is greater than 180 degrees but less than 360 degrees. Question: 18. (iii) False. Find the values of and , giving reasons for your answer. Solution: False As a linear pair has one acute angle and one obtuse angle. Hence the above statement is false. You can use the coordinate plane to measure the length of a line segment. Question 11. Answer (i) No, because sum of two acute angles is less than 180° (ii) No, because sum of two obtuse angles is more than 180° (iii) Yes, because sum of two right angles is 180° 8. Since is a line, is a straight angle measuring 180º. It is an obtuse angle: an angle that is more than a right angle, yet less than a straight angle. Straight line: A straight line has neither starting nor end point and is of infinite length. Question 69. Solution: One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. Vectors are used to represent a quantity that has both a magnitude and a direction. Supplementary angles Two angles whose measures have a sum of 180°. Its complementary angle must be less than 45°. Can two angles be supplementary if both of them are: (i) acute (ii) obtuse (iii) right? (2) angles forming a linear pair can both be acute angles. In the diagram below, line is a straight line with angles labelled above and below it. 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