In ABC 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 measure of the angles?

Question

Gideon

Mathematics

4 December, 04:41

In ABC 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 measure of the angles?

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Rhys Klein · Answer 1

The angle ABC forms a triangle. The total angle of a triangle is always 180 degrees. To find x, add the three angles with the sum of 180 that is

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

8x = 176

x = 22

So, A = 2 (22) + 3 = 47, B = 4 (22) + 2 = 90, C = 2 (22) - 1 = 43