6.1 ­ The Polygon Angle­Sum Theorems.notebook
6.1: The Polygon Angle­Sum Theorem
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?
January 21, 2014
Date: 1/21
6.1 ­ The Polygon Angle­Sum Theorems.notebook
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.
January 21, 2014
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
Ex 4). What is m<D in quadrilateral ABCD?
January 21, 2014
6.1 ­ The Polygon Angle­Sum Theorems.notebook
January 21, 2014
Theorem 6­2: Polygon Exterior Angle­Sum Theorem
The sum of the measures of the exterior angles of a polygon,
one at each vertex, is 360°.
Ex 5). What is the measure of an exterior angle of a regular hexagon?
6.1 ­ The Polygon Angle­Sum Theorems.notebook
Ex 6). Find the value of each variable.
Ex 7). Find the value of each variable.
January 21, 2014
6.1 ­ The Polygon Angle­Sum Theorems.notebook
Homework:
pg. 374 #1 – 3, 5, 7 – 13, 15
– 23, 26 – 28
Media Lab Friday
January 21, 2014