Question

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.
What is the measure of ∠B?

98°
108°
118°
128

Answer 1

Sum of interior angles of a hexagon = (6−2)×180 = 720°.

Given A+C+D+E+F = 170+133+102+117+90 = 612°, so B = 720 − 612 = 108°.

Answer: 108°.