Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(5x-29)^{\circ}∠A=(5x−29) ∘ and m\angle B=(2x+13)^{\circ}∠B=(2x+13) ∘ , then find the measure of \angle A∠A.

Answer 1

∠ A = 111°

Explanation:

supplementary angles sum to 180° , then

∠ A + ∠ B = 180 , that is

5x - 29 + 2x + 13 = 180

7x - 16 = 180 ( add 16 to both sides )

7x = 196 ( divide both sides by 7 )

x = 28

Then

∠ A = 5x - 29 = 5(28) - 29 = 140 - 29 = 111°