# The measure of an angle is 3 times the measure of its complement. What is the measure, in degrees, of the angle?

Jan 12, 2017

The angle is ${67.5}^{o}$.

#### Explanation:

An angle and its complement add up to ${90}^{o}$. If we consider the angle as $x$, the complement will be $\frac{x}{3}$ and we can write:

$x + \frac{x}{3} = 90$

Multiply all terms by $3$.

$3 x + x = 270$

$4 x = 270$

Divide both sides by $4$.

$x = 67.5$