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Published byGeoffrey Carpenter Modified over 8 years ago
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LESSON 7.1 OBJ: The learner will use interior and exterior angles in a polygon. Do Now: Name the polygons with the given number of sides: 3, 4, 5, 6, 7, 8, 9, 10, 12
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Types of Polygons: Equilateral Polygon: all sides are equal Equiangular Polygon: all angles are equal Regular Polygon: a polygon that is both equilateral and equiangular
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Interior Angles Theorem: The sum of the measures of the interior angles of a convex n-gon is The measure of each interior angle of a regular n-gon is
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Examples: A. Find the sum of the measures of the interior angles of a heptagon B. Classify the polygon by number of sides, if the sum of the measures of the interior angles is 2160˚ C. Find the measure of one interior angle in a regular octagon
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Examples: Find the missing angle D. E.
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Exterior Angles Theorem: The sum of the measures of the exterior angles of a convex polygon, one at each vertex, is 360˚
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Examples: Find the missing angle(s) F. G.
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Examples: H. Find the measure of an interior angle and exterior angle in a regular hexagon Homework: Pg 364 #3-27 odd
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