The exterior angles of a triangle are in the ratio \(3:5:7\). What is the measure (in degrees) of the least interior angle of the triangle?

Guest May 3, 2022

#1**0 **

We know that the exterior angles of the triangle add to 360.

\(3 + 5 + 7 = 15\). This means that 1 is \(360 \div 15 = 24\)

The smallest interior angle is supplementary to the largest exterior angle.

The largest exterior angle is \(24 \times 7 = 168\).

Can you find the interior angle now?

BuilderBoi May 3, 2022