Question

The sum of the measures of the angles of a triangle is 180 degrees. the second angle is twice the measure of the first angle. the third angle is three times the measure of the second angle. find the measure of each angle

Answer 1

∠1 = x
∠2 = 2x
∠3 = 3 * 2x = 6x

x + 2x + 6x = 180
9x = 180
x = 180/9
x = 20° ← the first angle

the second angle = 2 * 20 = 40°

the third angle = 3 * 40 = 120°