The measures of the angles of triangle RST are in the ratio 2:4:9. What are the measures of the angles?

Measures of the angles are 24°, 48° and 108°

Step-by-step explanation:

Step 1: Given ratio = 2:4:9. Sum of angles of triangle = 180°

Let angles be 2x, 4x and 9x.

⇒ 2x + 4x + 9x = 180

⇒ 15x = 180

⇒ x = 180/15 = 12

Step 2: Find angles.

2x = 24°, 4x = 48° and 9x = 108°