Question

Question 4
Find the angle which is equal to its complement:

Answer 1

Let one of the two equal complementary angles be x.
When two angles add to ${90}^{\circ }$ , they are called as complementary angle.
$\therefore x+x=90\Rightarrow 2x=90\Rightarrow x={90}^{\circ }\Rightarrow x=\frac{{90}^{\circ }}{2}={45}^{\circ }$
Thus ${45}^{\circ }$ is equal to its complement.