The exterior angles of a triangle are in the ratio 3:4:5. What is the measure (in degrees) of the least interior angle of the triangle?
The exterior angles sum to 360
3 /(3+4+5) * 360 = 90
4/12 *360 = 120
5 / 12 * 360 =150
Interior and exterior angles are supplementary (they add to 180)
so the smallest interior will be 150 + 30 = 180 30 degrees