# How do you find the measure of an angle whose supplement measures four times it's measure?

Oct 25, 2016

The angle is ${36}^{o}$.

#### Explanation:

Let the angle be represented by $x$. The supplementary angle, therefore, will be $4 x$.

Since an angle and its supplementary angle make ${180}^{o}$, we can write the equation:

$x + 4 x = 180$

$5 x = 180$

Divide both sides by $5$.

$x = \frac{180}{5}$

$\therefore x = 36$