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6.1 Angles of Polygons.notebook 1 December 02, 2013 "Do Now"

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Page 1: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

6.1 ­ Angles of Polygons.notebook

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December 02, 2013

"Do Now"

Page 2: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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December 02, 2013

Go over tests and progress reports

Page 3: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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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

Page 4: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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Triangle3

Quadrilateral4

Pentagon5

Hexagon6

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

Page 5: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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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

Page 6: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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Heptagon7

Octagon8

Dodecagon12

15­gon

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December 02, 2013

Page 8: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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December 02, 2013

Find the measure of ONE interior angle of a regular heptagon.

Find the measure of ONE interior angle of a regular 15­gon.

Page 9: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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December 02, 2013

What about the angles OUTSIDE of the polygon?

Page 10: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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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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Page 12: 6.1 - Angles of Polygons.notebook · 6.1 Angles of Polygons.notebook 3 December 02, 2013 Diagonal A straight line inside a polygon that goes from one corner to another (but not an

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December 02, 2013

Findthemeasureof oneexteriorangleineachpolygon.Roundyouranswertothenearesttenthifnecessary.

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December 02, 2013