Question

Pentagon A B C D E is shown. Angle A is 92 degrees, angle C is 89 degrees, angle D is 98 degrees, and angle E is 150 degrees.
What is the measure of ∠B of the pentagon

Answer 1

Sum of interior angles of a pentagon = (5−2)·180 = 540°.
So ∠B = 540° − (92° + 89° + 98° + 150°) = 540° − 429° = 111°.