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`