# A triangular playground has angles with measures in the ratio 7 : 3 : 5. What is the measure of the smallest angle?

May 22, 2018

The smaller angle is 36˚

#### Explanation:

The angles of the triangle can be rewritten as

$3 x , 5 x , 7 x$

We know the sum of the angles in every triangle is 180˚. Therefore

$3 x + 5 x + 7 x = 180$

$15 x = 180$

$x = 12$

This means the smallest angle is 3(12) = 36˚.

Hopefully this helps!