# The ratio of two supplementary angles is 11:4. How do you find the measure of each angle?

May 2, 2015

If they are supplementary they add up to ${180}^{o}$

Since they are in this ratio, let's call the one angle $11 x$ and the other one $4 x$.

They add up to $11 x + 4 x = 15 x = {180}^{o} \to x = 12$

So one angle is $11 \cdot 12 = {132}^{o}$
And the other is $4 \cdot 12 = {48}^{o}$

Check: $132 + 48 = 180$