# sums of angles and polygons

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Information about sums of angles and polygons
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Published on March 13, 2009

Author: joshsmith1110

Source: authorstream.com

SUMS OF ANGLES OF POLYGONS : SUMS OF ANGLES OF POLYGONS OBJECTIVES : OBJECTIVES To be able to measure the interior angles of any convex polygon. A polygon is a convex only if a segment joining any two points of the polygon lies completely inside the polygon, otherwise the polygon is non convex. : A polygon is a convex only if a segment joining any two points of the polygon lies completely inside the polygon, otherwise the polygon is non convex. Slide 4: A vertex angle (interior angle) is an angle formed by two consecutive sides. A central angle is an angle formed by the segment joining consecutive vertices to the center of the regular n-gon. The angle Sum Theorem states that the sum of the degree measures of the angles of a triangle is 180°. : The angle Sum Theorem states that the sum of the degree measures of the angles of a triangle is 180°. If a convex polygon has n sides, and S is the sum of the degree measure of its angles, then S=(n-2)180. : If a convex polygon has n sides, and S is the sum of the degree measure of its angles, then S=(n-2)180. Slide 8: What is the sum of the measures of the angles of a regular octagon? 1. Example S = (n-2)180 = (8-2)180 = (6)180 S = 1080 Slide 9: 2. Example S = (n-2)180 = (5-2)180 = (3)180 S = 540 What is the sum of the measures of the angles of a pentagon? Slide 10: A POWER POINT PRESENTATION BY:SEDIEGO ANDY M. BSED MATH 4

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