Question

b. The exterior angle of a triangle is 120 and the opposite interior angles of triangle are in the ratio of 3: 2. Find each angles of the triangle.​

Answer 1

48, 60 and 72 degrees

Explanation:

The first angle can be found by doing 180 - 120 = 60 as interior and exterior angles sum to 180.

The sum of the remaining 2 angles is 120, and since they are in the ratio 2:3, the angles are 2/5(120) = 48 and 3/5(120) = 72 degrees.