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The Polygon angle-sum theorems

Chapter 6 Section 1

Objective Students will…

find the sum of the measurements of the interior angles of a polygon.

Find the sum of the measures of the exterior angels of a polygon

Interior Angles The sum of the interior angle measures

of a polygon depends on the number of sides the polygon has.

Polygon Angle-Sum Theorem (6-1) The sum of the measures of the interior

angles of an n-gon is

(n-2) 180.

Turn to page 353… Look at Problem 1… Try the “Got It” problem at the bottom.

Corollary to the Polygon angle-sum theorem The measure of each interior angle of a

regular n-gon is

(n-2)180 n

On page 354… Look at Problem 2

Polygon Exterior angle-sum theorem (6-2) The sum of the measures of the exterior

angels of a polygon, one at each vertex, is 360.

The sum of the exterior angles of any polygon is 360.

On page 356… Try problems #1-6 on your own.

On page 356… Complete problems #7-36 in your small

work groups.