Question

In ΔABC, ∠A - ∠B = 16 and ∠C - ∠A = 34. Find all the angles of the triangle.

Answer 1

Answer:

38° , 54° , 88°

Step-by-step explanation:

a - b = 16 ===> a = 16 + b

c - a = 34 ===> c = 34 + a

c = 34 + 16 + b

a + b + c = 180

16 + b + b + 50 + b = 180

3b + 66 = 180

3b = 114

b = 38

a = 54

c = 88

m∠A = 54°

m∠B = 38°

m∠C = 88°