Question

In a triangle ABC,
Angle C = 3B= 2( A+ B).
Find all the angles

Answer 1

In a triangle ABC angle C =3 angle B = 2 (angle A+ angle B). What are the three angles?

C = 2(A+B)

C = 3B, or

2(A+B) = 3B, or

2A+2B=3B, or

B=2A.

C =2(A+2A) = 6A

A+2A+6A = 180 or 9A = 180.

Or A = 20 deg. B = 40 deg, C = 120 deg