Question

Find the complement of each of the following angles:

Answer 1

Calculate the complementary angle

When the sum of any two angles is $90°$ then the angles are said to be complementary.

Given angle is $57°$.

Let the required angle be $x$.

Then by definition,

$\begin{array}{cc}& 57°+x=90°\\ \Rightarrow & x=90°-57°\\ \Rightarrow & x=33°\end{array}$

Hence, the complementary angle of ${57}^{°}$ is ${33}^{°}$.