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.

Question

asked Sep 10, 2019 107k views

1 Answer

Konstantin Weitz · Answer 1 · 2019-09-15T07:53:07+0000

It is given in the question that

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle.

First we have to find the sum of measurement of all the angles of a convex pentagon, by using the formula

=(n-2)*180

Where n is the number of sides. And for polygon, it is 5 .SO the sum of measurement of angles of a polygon is

$=(5-2)*180 = 540 \degree$

Let the measurement of missing angle be x .

So we have

120+93+108+101+x=540

422+x =540

x=540-422=118