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

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

$120+93+108+101+x=540$

$422+x =540$

$x=540-422=118$