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

1 Answer
May 22, 2018

The smaller angle is #36˚#

Explanation:

The angles of the triangle can be rewritten as

#3x, 5x, 7x#

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

#3x +5x + 7x = 180#

#15x = 180#

#x= 12#

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

Hopefully this helps!