# Two supplementary angles are in the ratio of 7 to 2. What is the measurement of degrees in the smaller angle?

Dec 28, 2015

$40$

#### Explanation:

Two Angles are Supplementary when they add up to 180 degrees. Let bigger angle be $7 x$ and smaller one $2 x$.

$\textcolor{w h i t e}{\times} 7 x + 2 x = 180$
$\implies \textcolor{red}{\frac{1}{9} \times} 9 x = \textcolor{red}{\frac{1}{9} \times} 180$
$\implies x = 20$

$\implies 2 x = 2 \times 20$
$\implies 2 x = 40$