Question

If the supplement of an angle is $4$ times of its compliment, then the measure of the angle is _______________.

Answer 1

Determine the required angle.

As we know that, Complementary angles are two angles whose sum is $90°$ (a right angle).

The Supplementary angles are two angles whose sum is $180$ degrees.

Let the angle be $x$.

Its supplement is $180-x$.

Its complement is $90-x$.

So,

$\Rightarrow$ $180-x=4\times \left(90-x\right)$

$\Rightarrow$ $180-x=360-4x$

$\Rightarrow$ $x=\frac{180}{3}$

$\Rightarrow$ $x=60°$

Hence, If the supplement of an angle is $4$ times of its compliment, then the measure of the angle is $60°$.