Question

The angles of a triangle are described as follows: angle a is the largest angle; it measure is twice the measure of Angle b. The measure of Angle C is 10 more than one-third of angle B. Fins the measurements of the three angles in degrees.

(Angles in a triangle add up to 180 degrees.)

Answer 1

Angle A = 102°

Angle B = 51°

Angle C = 27°

Explanation:

angle A = 2b

angle B = b

angle C = 1/3 b + 10

Angle A + Angle B + Angle C = 180

2b + b + 1/3 b + 10 = 180

3 1/3 b + 10 = 180

10/3 b = 170

b = 51

a = 2b = 102

c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27