Question

Tick ($\surd$)the correct answer in each of the following:

If an angle is equal to its complement, then angle measures:

• A. (a) $90°$
• B. (b) $45°$
• C. (c) $0°$
• D. (d)$10°$

Answer 1

The correct option is B

(b) $45°$

Complementary angles are angles whose sum is equal to $90°$.

Let one of the equal complement angle be $x°$

then, other angle is $x°$

$$\begin{gathered} \Rightarrow x°+x°=90° \\ \Rightarrow 2x°=90° \\ x=\frac{90°}{2}=45° \end{gathered}$$

Hence, correct option is (b).