Question

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

sum of angles in triangle = (3-2)*180 = 180
sum of angles in quadrilateral = (4-2)*180 = 360
and so on with the pattern:
sum of angles in n-sides shape = (n-2)*180
so for the pentagon, calculate sum of its angles, then you can find the fifth angle

Answer 2

118 degree

Answer 3

okay thanks I just got it!:)