Theorem 6­1: Polygon Angle­Sum Theorem - Copley-Fairlawn

[Pages:7]6.1 The Polygon AngleSum Theorems.notebook

January 21, 2014

6.1: The Polygon AngleSum Theorem

Date: 1/21

Theorem 61: Polygon AngleSum Theorem The sum of the measures of the angles of an ngon is:

Ex 1). What is the sum of the angle measures of a 10gon?

Ex 2). What is the sum of the angle measures of a 13gon?

6.1 The Polygon AngleSum Theorems.notebook

January 21, 2014

An equilateral polygon is a polygon with all sides congruent.

An equiangular polygon is a polygon with all angles congruent.

A regular polygon is a polygon that is both equilateral & equiangular.

6.1 The Polygon AngleSum Theorems.notebook

January 21, 2014

Corollary to the Polygon AngleSum Theorem The measure of one angle of a regular polygon is

Ex 3). Marcy creates a floor tile pattern using squares, regular hexagons, and regular dodecagons (12sided polygon). What is the measure of each angle in one regular dodecagon?

6.1 The Polygon AngleSum Theorems.notebook

January 21, 2014

Ex 4). What is m ................
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