Question

In the ΔABC the measure of angle A is 2x +3, the measure of angle B is 4x +2, and the measure of angle C is 2x -1. What are the measures of the angles? Help plzzzzzz

Answer 1

180° in a triangle

180 = (2x + 3) + (4x + 2) + (2x - 1)

180 = 8x + 4

180 - 4 = 176

176 = 8x

176/8 = x

X = 22

proof:

A = 2 X 22 + 3 = 47

B = 4 X 22 + 2 = 90

C = 2 X 22 - 1 = 43

47 + 90 + 43 = 180°