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
[tex]=(n-2)*180[/tex]
Where n is the number of sides. And for polygon, it is 5 .SO the sum of measurement of angles of a polygon is
[tex]=(5-2)*180 = 540 \degree[/tex]
Let the measurement of missing angle be x .
So we have
[tex]120+93+108+101+x=540[/tex]
[tex]422+x =540[/tex]
[tex]x=540-422=118[/tex]
