Question

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

Answer 1

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!