91Ó°ÊÓ

The theorem for the sum of interior angles for convex polygon states that the sum of measures of the interior angles of a convex polygon with sides is $\left(\mathit{n}-2\right)180$.

The number of sides in a Pentagon is 5.

Therefore, the value of$n$ is 5.

By using the theorem for the sum of interior angles for convex polygon, the sum of the interior angles for the polygon having 5 sides is given by:

$$\begin{gathered} \left(5−2\right)180=3×180 \\ =540 \end{gathered}$$

Therefore, the sum of interior angles for the Pentagon is $540°$.

The theorem for the sum of exterior angles for convex polygon states that the sum of measures of the exterior angles of a convex polygon is $360°$.

The number of sides in a Pentagon is 5.

Therefore, the value of$n$ is 5.

By using the theorem for the sum of exterior angles for convex polygon, the sum of the exterior angles for the polygon having 5 sides is $360°$.

Therefore, the sum of exterior angles of the Pentagon is $360°$.