# There are 2 supplementary angles and they are in the ratio of 3 to 2. What is the measure of the larger angle?

Jun 5, 2018

${108}^{\circ}$

#### Explanation:

$\text{supplementary angles sum to } {180}^{\circ}$

$\text{sum the parts of the ratio "3+2=5" parts}$

${180}^{\circ} / 5 = {36}^{\circ} \leftarrow \textcolor{b l u e}{\text{ 1 part}}$

$3 \text{ parts } = 3 \times {36}^{\circ} = {108}^{\circ}$