Suppose Triangle ABC has an exterior angle at vertex B.

Question

The exterior angle is (12x - 24) degrees, the measure of angle A = (3x - 6) degrees, and the measure of angle C = (6x + 12). What is the value of x? What is the measure of the exterior angle at vertex B?

Answer 1

12x - 24 = 3x - 6 + 6x + 12

12x - 24 = 9x + 6

3x - 24 = 6

3x = 30

x=10

the exterior angle is 12(10) - 24 = 120 - 24 = 96

The remote angles are 3(10)-6 = 30 - 6 = 24

and 6(10) + 12 = 60 + 12 = 72