6.1 The Polygon Angle-Sum Theorems

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Presentation transcript:

6.1 The Polygon Angle-Sum Theorems By Brit Caswell

Let’s Start With Numbers…

Thm 6.1 Polygon Angle-Sum Theorem The sum of the measures of the interior angles of an n-gon is (n-2)180.

Let’s Prove It!

Let’s Practice! (Think, Pair, Share) What is the sum of the interior angles of a hexagon? What is the sum of the interior angles of a nonagon?

Some Special Vocab You Will See..

Corollary Find the measure of an interior angle in each of these regular polygons.

What is the measure of angle Y?

Thm 6.2 Polygon Exterior Angle-Sum Theorem The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. Example: Find the measure of one exterior angle in this octagon.

Find the values of w, x, y, and z.

Find the missing angle measure.

Given the sum of the interior angles of an n-gon. Find n. 180 1980

Find the measure of an exterior angle of a regular n-gon. Exit Ticket Find the measure of an exterior angle of a regular n-gon.