1. 6.1 The Polygon Angle-Sum Theorems
By Brit Caswell

2. Let’s Start With Numbers…

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

4. Let’s Prove It!

5. 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?

6. Some Special Vocab You Will See..

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

8. What is the measure of angle Y?

9. 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.

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

11. Find the missing angle measure.

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

13. 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.