Question

Find the angle which is equal to its supplement.

Answer 1

Hint – Supplementary angles are the angles whose sum is equal to 180 degrees, so to find the supplement of any angle put the sum equal to 180 degrees. Let the angle be x, put $x+x={180}^{\circ }$, and then find the value of x to solve the question.

Complete step-by-step solution -
We have to find the angle which is equal to its supplement.
Supplement-
Let the angle be x.
$$\begin{gathered} x+x={180}^{\circ } \\ \Rightarrow 2x={180}^{\circ } \\ \Rightarrow x={90}^{\circ } \end{gathered}$$
Hence, the angle which is equal to its supplement is 90 degrees.

Note – Whenever it is asked to find the supplement or complement of any angle then assume the angle to be x and y and then put their sum is 180 degrees (if supplementary) or 90 degrees (if complementary), then find the value of the angles. Here it is asked in the question to find the angle which is equal to its supplement, so assume the angle to be x and then $x+x={180}^{\circ }$, and find the value of x.