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Geometry worksheet to help students name exterior angles of polygons and develop the theorem for the sum of measures of exterior angles of polygons.
Geometry worksheet to help students develop and apply the theorem for the sum of measures of exterior angles of polygons including finding the measure of each exterior angle in regular polygons.

Activity 3.8

Assignment 3.9

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Assignment 4.15

Exterior Angles of Polygons

 
Objectives
Name exterior angles of a polygon.
 
Develop and apply a theorem for the sum of measures of 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

 

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