6.1 - angles of polygons.notebook · 6.1 angles of polygons.notebook 3 december 02, 2013 diagonal a...
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"Do Now"
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Go over tests and progress reports
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Diagonal A straight line inside a polygon that goes from one corner to another (but not an edge)
Unit 7: Quadrilaterals6.1 Angles of Polygons
Date
Polygon
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Triangle3
Quadrilateral4
Pentagon5
Hexagon6
What is the sum of the interior angles of each polygon?
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Polygon Interior Angles Sum
Theorem
The sum of angle measures of an n-sided convex polygon with n sides is (n - 2)180
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Heptagon7
Octagon8
Dodecagon12
15gon
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Find the measure of ONE interior angle of a regular heptagon.
Find the measure of ONE interior angle of a regular 15gon.
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What about the angles OUTSIDE of the polygon?
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Polygon Exterior Angle-Sum TheoremThe sum of the exterior angle measures of a polygon, one at each vertex, is 360.
So,<A + <B + <C + <D + <E = 360
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Findthemeasureof oneexteriorangleineachpolygon.Roundyouranswertothenearesttenthifnecessary.
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