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  • Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

Answers (1)

Given that two adjacent angles are equal.

No, it is not necessary that each of these angles will be a right angle.
Let us see why.
Adjacent angles: Two angles are said to be adjacent only when they have a common vertex, a common side but they do not overlap.
The following figure shows adjacent angles (\angle 1 and\angle 2 ), (<DBC,\angle CBA)

But for the case that both adjacent angles are right angles, they should form a linear pair or we can say that they should lie on the same line, but such a condition is not given to us.

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