The angle measurements in the diagram are represented by the following expressions.
∠A=8x+74∘\qquad \blueD{\angle A} = \blueD{8x + 74^\circ}
∠A=8x+74
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 74, degrees, end color #11accd
∠B=2x+56∘\qquad \green{\angle B} = \green{2x +56^\circ}
∠B=2x+56
∘
start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 2, x, plus, 56, degrees, end color #28ae7b

AA
A
BB
B
Solve for
xx
x
x
and then find the measure of
∠B\greenD{\angle B}
∠B
start color #1fab54, angle, B, end color #1fab54
:
∠B=\greenD{\angle B} =
∠B=
start color #1fab54, angle, B, end color #1fab54, equals

∘^\circ
∘