Question

In triangle ABC, the measure of B is two-third of the measure of A. The measure
C is 20° more than the measure of A. Find the measures of the three angle​

Answer 1

Answer:

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Answer 2

Answer:

angle A = 32°

angle B = 96°

angle C = 52°

Explanation:

sum of interior angles of a triangle = 180°

let A be x

let B be 3x

let C be x+20

A+B+C = 180°

x+3x+x+20 = 180°

5x+20 = 180°

5x = (180-20)°

5x = 160°

x = (160/5)°

x = 32°

Therefore,

Angle A = x

Angle A = 32°

Angle B = 3x

Angle B = (3×32)°

Angle B = 96°

Angle C = x+20

Angle C = (32+20)°

Angle C = 52°