Question

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

• A. ${90}^o$
• B. ${45}^o$
• C. ${180}^o$
• D. ${135}^o$

Answer 1

Answer: (B)

${45}^o$

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

$X=Y={45}^{\circ }$