Question

The ratio of the measures of the angles in a

triangle is 4:7:9. Find the measures of the
angles.

Answer 1

36°, 63°, 81°

Explanation:

Let 4x = measure of angle 1

7x = measure of angle 2

9x = measure of angle 3

The sum of the measures of the angles of a triangle = 180

So 4x + 7x + 9x = 180

20x = 180

x = 9

4x = 36 = measure of angle 1

7x = 63 = measure of angle 2

9x = 81 = measure of angle 3

Check: 36 + 63 + 81 = 180