One angle of a triangle measures 30° more than the second angle. The measure of the third angle is three times the sum of the first two angles. Find the measure of each angle.

Answer 1

Let x = the measure of the second angle

Let x + 30 = the measure of the first angle

Let 3(x + x + 30) = the measure of the third angle

x + x + 30 + 3(2x + 30) = 180

2x + 30 + 6x + 90 = 180

8x + 120 = 180

8x = 60

x = 7.5°

x + 30 = 37.5°

6x + 90 = 135°