# The measure of an angle is 28° greater than its complement. How do you find the measure of each angle?

Nov 1, 2016

The angle is ${59}^{\circ}$; its complement is ${31}^{\circ}$

#### Explanation:

By definition the sum of an angle and its complement =90^circ"

Let the angle be $x$
The angle's complement must be $x - {28}^{\circ}$ (from the given information)

$x + \left(x - {28}^{\circ}\right) = {90}^{\circ}$

$2 x = {118}^{\circ}$

$x = {59}^{\circ}$

So the angle is ${59}^{\circ}$ and its complement is ${59}^{\circ} - {28}^{\circ} = {31}^{\circ}$