the second angle of a triangle is three times as large as the first. the measure of the third angle is 40 degrees greater than that of the first angle. how large are the three angles?

Answer 1

First angle is = x

Second angle is = 3x

Third angle is = x + 40

Total degrees of a triangle is = 180

x + 3x + x + 40 = 180

5x + 40 = 180

5x + 40 - 40 = 180 - 40

5x = 140

x = 28 (First angle)

3x = 3 x 28 = 84 (Second angle)

x + 40 = 28 + 40 = 68

Check:

28 + 84 + 68 = 180

180 = 180