Mathematics

Two angles are complementary and congruent, then measure of each of the angles is __________.


ANSWER

$$45^o$$


SOLUTION
Let $$X$$ and $$Y$$ be two complementary  angles 
$$X+Y= 90^{\circ}$$      .........(1)
It is given that both angles are congruent, this implies that
$$X = Y$$  ......................(2)
From (1) and (2), we get
$$X = Y = 45^{\circ}$$
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