​Exterior Angles of Polygons

About Geometry Worksheet Assignment 4.15:        

Assignment 4.15 is an introduction to exterior angles of polygons and the development and application of theorems about their measures.

Prerequisite Skills:  Calculate the measures of angles in linear pairs (Assignment 4.4).  Solve algebraic equations with one variable.  

Definition:   An angle is an exterior angle of a polygon if the angle and an angle of the polygon are a linear pair.

Theorems:  The sum of the exterior angle measures of a convex polygon is 360.

                          The measure of each exterior angle of an equiangular polygon:  360    (n is the number of sides in the polygon.

                                                                                                                                  n