8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

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POLYGONS 10/17/2007 NAMING POLYGONS

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Presentation transcript:

8.2 Angles in Polygons Textbook pg 417

Interior and Exterior Angles interior angles exterior angle

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

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

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

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

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

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

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

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

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

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

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

Polygon# of sides# of Triangles Sum of Interior Angles Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gonnn – 2(n – 2) 180 0

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