Question

Find the angle which is four times its complement.

Answer 1

Finding the angle which is four times its complement.

Suppose the angle be $x°$.

So, the complement of $x=90-x$

Assume that the angle is four times greater than its complement,

So,

$\Rightarrow$ $x=4\left(90°-x\right)$

$\Rightarrow$ $x=360°-4x$

$\Rightarrow$$x+4x=360°$

$\Rightarrow$ $x=72°$

Since, the measure of an angle which is $4$ times its complement is $72°$.