# Two angles are supplementary. One angle is 5 degrees less than four times the other. What is the measure of the smaller angle? What is the measure of the other angle?

Nov 21, 2015

Supplementary angles sum to ${180}^{o}$

#### Explanation:

Write the equation for the sum of the two angles ...

$x + \left(4 x - 5\right) = 180$

Solve for x ...

$5 x = 185$

$x = {37}^{o}$

$180 - 37 = {143}^{0}$

So, the smaller angle is ${37}^{o}$ and the other angle is ${143}^{o}$

hope that helped