The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.

The sum of exterior angles in a polygon is always equal to 360 degrees.

Regular Polygons The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.

By the sum of exterior angles formula, Each exterior angle of a regular polygon of n sides = 360° / n.

Each interior angle of a regular hexagon has a measure of 120°. Because the sum of these angles will always be 360°, then each exterior angle would be 60° (360° ÷ 6 = 60°).

The sum of the exterior angles of any polygon is 360 degrees.

(2) The sum of the exterior angles of a convex polygon is always 360 degrees. Example: Your 100-gon: Exterior angle sum = 360 degrees.

Thus, the sum of the exterior angles will be 360°. So, for a regular 20-gon, each exterior angle is 360°/20 = 18°.

In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon….Pentadecagon.