∠A=5x+34 ∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd \qquad \green{\angle B} = \green{2x +76^\circ}∠B=2x+76
∘
start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 2, x, plus, 76, degrees, end color #28ae7b

Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:
\blueD{\angle A} =