Question

The angles of a triangle are in the ratio 2 : 3 : 4. Find each angle.

Solution

1. The sum of the ratio parts is 2 + 3 + 4 = 9.
2. The angles of a triangle add up to 180 degrees, so one part is 180 / 9 = 20 degrees.
3. The angles are 2 x 20 = 40, 3 x 20 = 60, and 4 x 20 = 80 degrees.
4. Check: 40 + 60 + 80 = 180.