Question

An angle is its own complement. The measure of the angle is:

• A. ${30}^o$
• B. ${45}^o$
• C. ${90}^o$
• D. ${60}^o$

Answer 1

The correct option is B ${45}^o$

Let the measure of the required angle be $x^o$.

Since, the angle is its own complement, both the angle and its complement will be equal.

Then,

$⟹x^o+x^o={90}^o$

$⟹2x={90}^o$

$⟹x={\frac{90}{2}}^o$

$⟹x={45}^o$.

Hence, the required angle measures ${45}^o$.

Therefore, option $B$ is correct.