Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-14)^{\circ}∠A=(2x−14)

∘
and m\angle B=(3x-6)^{\circ}∠B=(3x−6)
∘
, then find the measure of \angle A∠A.

Answer 1

∠ A = 66°

Explanation:

Supplementary angles sum to 180° thus

∠ A + ∠ B = 180 , substitute values

2x - 14 + 3x - 6 = 180 , that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°