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 $\left(n-2\right)180$.

The number of sides in a n-gon polygon is $n$.

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

$\left(n−2\right)180$

Therefore, the sum of interior angles for the n-gon is $\left(n−2\right)180°$.

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 n-gon polygon is $n$.

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

Therefore, the sum of exterior angles of the n-gon is $360°$.