1. 8.2 Angles in Polygons Textbook pg 417

2. Interior and Exterior Angles interior angles exterior angle

3. Polygon Exterior Angles Theorem The sum of the exterior angles of a convex polygon is always 360 0

4. Polygon# of sides# of Triangles Sum of Interior Angles Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon

5. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon

6. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon

7. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon

8. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon Octagon Nonagon Decagon Dodecagon n-gon

9. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon Nonagon Decagon Dodecagon n-gon

10. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon861080 0 Nonagon Decagon Dodecagon n-gon

11. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon861080 0 Nonagon971260 0 Decagon Dodecagon n-gon

12. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon861080 0 Nonagon971260 0 Decagon1081440 0 Dodecagon n-gon

13. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon861080 0 Nonagon971260 0 Decagon1081440 0 Dodecagon12101800 0 n-gon

14. Polygon# of sides# of Triangles Sum of Interior Angles Triangle31180 0 Quadrilateral42360 0 Pentagon53540 0 Hexagon64720 0 Heptagon75900 0 Octagon861080 0 Nonagon971260 0 Decagon1081440 0 Dodecagon12101800 0 n-gonnn – 2(n – 2) 180 0

15. Polygon Interior Angles Theorem For any convex polygon with n sides, the sum of the interior angles can be found with the following formula: (n – 2) 180 0