The angles of a triangle add up to 180 degrees. The second angle is 28 degrees larger than the smallest angle. The third angle is 2 times as big as the smallest angle.

Question

What is the measure of the smallest angle?

Answer 1

A = 28 + B

C = 3B

A+B+C= 180

28+B + B + 3B = 180

5B = 180-28 = 152

B = 152/5 = 30.4 degrees

C = 3(30.4) = 91.2 degrees

A = 30.4+28 = 58.4