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Polygon Interior and Exterior Angles Theorems and Examples

Learn how to find the sum of interior angles and measure of exterior angles in polygons, with the help of examples and practice exercises. Homework problems included.

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Polygon Interior and Exterior Angles Theorems and Examples

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  1. Do Now

  2. Section 8.2 Angles in Polygons

  3. The sum of the measures of the interior angles of a convex polygon with n sides is (n – 2) · 180˚. Polygon Interior Angles Theorem Example: Find the sum of the measures of the interior angles of the polygon.

  4. Practice: Find the sum of the measures of the interior angles.

  5. Finding interior angle measures.

  6. Practice: Find the measure of A.

  7. Polygon Exterior Angles Theorem The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360˚. Example: Find the value of x.

  8. Practice: Find the value of x.

  9. Homework • P421, #8-24 even

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