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8.2 Angles in Polygons

In Polygons417 GoalFind the measures ofinterior and exteriorangles of Words interior angle p. 181 exterior angle p. 181 The definitions for interior Angles and exterior Angles can be extendedto include Angles formed in any polygon. In the diagrams shownbelow, interior Angles are red, and exterior Angles are anglesinterior in PolygonsFind the sum of the measures of theinterior Angles of a convex heptagon has 7 sides. Use the Polygon Interior Angles Theorem and substitute 7 for n.(n22)p1808 5 (722)p1808 Substitute 7 for The sum of the measures of the interior Angles of a convex heptagon is the Polygon Interior Angles TheoremPolygon Interior Angles TheoremWordsThe sum of the measures of theinterior Angles of a convex polygonwith nsides is (n22) 1ma2 1.

8.2 Angles in Polygons 417 Goal Find the measures of interior and exterior angles of polygons. Key Words • interior angle p. 181 • exterior angle p. 181 The definitions for interior angles and exterior angles can be extended to include angles formed in any polygon. In the diagrams shown below, interior angles are red, and exterior angles ...

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