What is the measure of each exterior angle of a regular pentagon. Find the angle measures $\mathrm{x}$ in the following figuresFind the angle measures $\mathrm{x}$ in the following figuresFind the angle measures $\mathrm{x}$ in the following figures Find the angle measures x in the following figures. Find the angle measures x in the following figures.

We know that a regular pentagon has all angles of the same measure and all sides of the same length. We know that the sum of the exterior angles of all polygons is equal to 360 ° . To find the measure of an exterior angle of the pentagon we use the formula: Each Exterior angle = 360 ° n , where n is the number of sides of the polygon. Since for the pentagon, we have n = 5 Hence, each exterior angle of a pentagon = 360 ° 5 = 72 °

A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygon. The sum of all the interior angles for a regular pentagon is 540 ° .