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Angles of Polygons

Angles of Polygons Essential Question What is the sum of the measures of the interior Angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software. a. Draw a quadrilateral and a pentagon . Find the sum of the measures of the interior Angles of each polygon. Sample B. G. F. A C. H. E. I. D. b. Draw other Polygons and find the sums of the measures of their interior Angles . Record your results in the table below. CONSTRUCTING Number of sides, n 3 4 5 6 7 8 9. VIABLE ARGUMENTS. To be proficient in math, Sum of angle measures, S. you need to reason c. Plot the data from your table in a coordinate plane. inductively about data.

regular polygon, p. 361 Previous polygon convex interior angles exterior angles Core VocabularyCore Vocabulary TTheoremheorem Theorem 7.1 Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex n-gon is (n − 2) ⋅ 180°. m∠1 + m∠2 + . . . + m∠n = (n − 2) ⋅ 180° Proof Ex. 42 (for pentagons), p ...

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