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6.1 The Polygon Angle-Sum Theorem

6.1 The Polygon Angle-Sum Theorem. Boyd/Usilton. Theorem 6-1 Polygon Angle-Sum Theorem. The sum of the measures of interior angles of an n-gon is (n-2)180. n= # of sides. What is the sum of the interior angles of a heptagon?. Polygons .

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6.1 The Polygon Angle-Sum Theorem

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  1. 6.1 The Polygon Angle-Sum Theorem Boyd/Usilton

  2. Theorem 6-1 Polygon Angle-Sum Theorem • The sum of the measures of interior angles of an n-gon is (n-2)180. n= # of sides • What is the sum of the interior angles of a heptagon?

  3. Polygons • Equilateral: A polygon with all sides congruent. • Equiangular: A polygon with all angles congruent. • Regular polygon: A polygon that is both equilateral and equiangular.

  4. Corollary to the Polygon Angle-Sum Theorem • The measure of each interior angle of a regular n-gon is (n-2)180 n

  5. Theorem 6-2 Polygon Exterior Angle-Sum Theorem • The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. For pentagon, m<1 + m<2 +m<3 +m<4 +m<5=360

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