Question

Find the measure of an angle which measures same as its complement.

Answer 1

Let $x$ be the measure of the angle.

Then, its complement $={90}^o-x$.

It is given that the measure of an angle that measures the same as its complement.

So, $x={90}^o-x$

$⟹$ $2x={90}^o$

$⟹$ $x={45}^0$.

Hence, the measure of an angle that measures the same as its complement is ${45}^o$.