If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle. Show equations and work that lead to your answer.

Answer 1

The sum of all internal angles of a pentagon is 540 degrees.

For a polygon of N sides, the sum is
N*(180-360/N) = N*180 - 360 degrees

Subtract (120 +93 +108 +101) from 540 for your answer.