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Free geometry worksheet to help students find measures of angles in polygons by applying the theorem for the sum of the angle measures for each polygon.
Free geometry worksheet to help students calculate the measure of each angle in regular polygons and use the formula for calculating each angle measure.

Activity 3.8​

Assignment 3.9

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​Assignment 4.14

​The Measure of Angles in Polygons

 
Objectives
Calculate measures of angles in polygons.
 
Calculate the measure of each angle in equiangular polygons.
 
 
 
 

Assignment 4.15

About Geometry Worksheet Assignment 4.14:         This assignment can be downloaded for free.

 

Assignment 4.14 is applications of the theorem for the sum of the measures of the angles in convex polygons to finding measures of angles in polygons.

 

Prerequisite Skills:  Calculate the sum of the measures of the angles of a convex polygon (Assignment 4.13).  Solve algebraic equations with one variable.  Evaluate algebraic expressions. 

 

Theorems:  The sum of the measures of the angles of any convex polygon is 180 times the number of triangles formed by all diagonals drawn from one vertex.

                          The formula for the measure of each angle of an equiangular polygon is a = 180 (n-2)    (a is the measure of each angle; n is the number of sides)

                                                                                                                                                         n

 

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