Question

Question 5
Find the angle which is equal to its supplement:

Answer 1

Let one of the suplementary angles be x.
When two angles add to ${180}^{\circ }$ , they are called as suplementary angles.
Therefore, $x+x={180}^{\circ }$
$\Rightarrow 2x={180}^{\circ }$ [Supplementary angles]
$x=\frac{{180}^{\circ }}{2}={90}^{\circ }$
Thus, ${90}^{\circ }$ is equal to its supplement.