The measures of the angels of ΔRST are in the ratio 2.4.9 What are the measures of the angels

Sum of interior angle of a triangle is 180 degrees.

2x + 4x + 9x = 180

15x = 180

x = 180/15 = 12

2x = 2 x 12 = 24

4x = 4 x 12 = 48

9x = 9 x 12 = 108

the measures of the angles are : 24 degrees, 48 degrees, 108 degrees