8.2 Angles in Polygons

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In Polygons417GoalFind the measures ofinterior and exteriorangles of Words interior angle p. 181 exterior angle p. 181The 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)p1808Substitute 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.

Exterior Angles The diagrams below show that the sum of the measures of the exterior angles of the convex polygon is 360 8. 1 Shade one exterior 2 Cut out the 3 Arrange the exterior angle at each vertex. exterior angles. angles to form 360 8.

  Glean, Exterior, Polygons, Exterior angle, 2 angles in polygons