Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer
Solution:
Given, two adjacent angles are equal.
We have to determine if each of these angles will be a right angle.
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
For example, ABC and BCD are two equal adjacent angles. Each equal to 43°.
ABC + BCD = 43°+ 43°= 86° ≠ 90°
Therefore, it is not necessary that each of the adjacent angles which are equal need not be a right angle.
✦ Try This: Can two acute angles be supplementary?
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 7
Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer
Summary:
Two adjacent angles are equal. It is not necessary that each of these angles will be a right angle. Equal adjacent angles will be a right angle only when they form a linear pair of angles
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