Question

Find the angle which is equal to its complement .

Answer 1

Let one of the two equal complementary angles be $=x$.

Now

$$\begin{gathered} x+x=90° \\ \Rightarrow 2x=90° \\ \Rightarrow x=\frac{90°}{2} \\ x=45° \end{gathered}$$
Hence, $45°$ is equal to its complement.