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?
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?