The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x +18 ^\circ}∠A=6x+18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, plus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{x +93^\circ}∠B=x+93
∘
start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, x, plus, 93, degrees, end color #28ae7b

Solve for xxx and then find the measure of \greenD{\angle B}∠Bstart color #1fab54, angle, B, end color #1fab54:
\greenD{\angle B} =∠B=start color #1fab54, angle, B, end color #1fab54, equals
^\circ
∘