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Angle Measures in Polygons: Sum and Regularity

Learn about the sum of interior angles and exterior angles in convex polygons, along with the specific measures of regular polygons.

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Angle Measures in Polygons: Sum and Regularity

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  1. Section 11-1 Angle Measures in Polygons

  2. Polygon interior angles theorem • The sum of the measures of the interior angles of a convex n-gon is n stands for the number of sides in the polygon.

  3. Corollary • The measure of each interior angle of a regular n-gon is

  4. Polygon Exterior angles theorem • The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is

  5. Corollary • The measures of each exterior angle of a regular n-gon is

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