Mathematics

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

$45^o$

##### 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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Single Correct Easy Published on 09th 09, 2020
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