6.1 - angles of polygons.notebook · 6.1 angles of polygons.notebook 3 december 02, 2013 diagonal a...

6.1 ­ Angles of Polygons.notebook

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"Do Now"

6.1 ­ Angles of Polygons.notebook

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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

6.1 ­ Angles of Polygons.notebook

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Triangle3

Quadrilateral4

Pentagon5

Hexagon6

What is the sum of the interior angles of each polygon?

6.1 ­ Angles of Polygons.notebook

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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

6.1 ­ Angles of Polygons.notebook

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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.

6.1 ­ Angles of Polygons.notebook

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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

6.1 ­ Angles of Polygons.notebook

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6.1 ­ Angles of Polygons.notebook

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Findthemeasureof oneexteriorangleineachpolygon.Roundyouranswertothenearesttenthifnecessary.

6.1 ­ Angles of Polygons.notebook

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