In triangle ABC , ∠A – ∠B = 33 degree and ∠B – ∠C = 18 degree.Find the measure of each angle of the triangle.

Question

In triangle ABC , ∠A – ∠B = 33 degree and ∠B – ∠C = 18 degree.Find the measure of each angle of the triangle.

Answer 1

A-B = 33

B-C = 18

A+B+C = 180

33+B + B + B-18 = 180

3B = 180+18-33 = 165

B = 165/3 = 55 degrees

A =88 degrees

C = 37 degrees