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Polygons and Polygon Angle Measures

Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

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Page 1: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

Polygons and Polygon Angle Measures

Page 2: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

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PolygonsSum of Interior

AnglesEach Interior

AngleExterior Angles

300 300 300

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500 500 500 500

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Page 3: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

Row 1, Col 1

The sum of the interior angles of a hexagon equals:

6-2=44(180)=720

Page 4: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

1,2

1440/10=144

Find the measure of each interior angleof a regular decagon.

Page 5: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

1,3

How many degrees are there in the sum ofthe exterior angles of a dodecagon ?

Sum of exterior anglesis always 360 degrees

Page 6: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

1,4

What is the name of a polygon with 7 sides?

Heptagon

Page 7: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

2,1

How many degrees are there in the sum of theinterior angles of a nine sided polygon ?

9-2=77(180)=1260

Page 8: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

2,2

How many degrees are there ineach interior angle of a hexagon ?

?Not a REGULAR hexagon

Page 9: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

2,3

Find the number of degrees in eachexterior angle of a regular pentagon.

360/5=72

Page 10: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

2,4

What is a polygon with all sides of the same length?

Equilateral

Page 11: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

3,1

If the sum of the interior angles of a polygon equals 900,how many sides does the polygon have?

180(n-2)=900180n-360=900180n=1260n=7

Page 12: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

3,2

If a regular polygon has 6 sides, how manydegrees are there in any one of its angles ?

720/6=120

Page 13: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

3,3

360/n=4040n=360n=9

If each exterior angle of a regular polygon contains

40 deg, how many sides does the polygon have ?

Page 14: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

3,4

10

A decagon has how many sides?

Page 15: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

4,1

How many sides does a polygon have if thesum of its interior angles is 2160º?

180(n-2)=2160180n-360=2160180n=2520n=14

Page 16: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

4,2

Each interior angle of a regular polygon measures 162.How many sides does the polygon have ?

180(n-2)/n=162180n-360=162n360=18nn=20

Page 17: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

4,3

What is the measure of one exteriorangle of a regular decagon ?

360/10=36

Page 18: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

4,4

Concave

Is the polygon concave or convex?

Page 19: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

5,1

What is a polygon called if the sumof its interior angles equals 1440?

180(n-2)=1440180n-360=1440180n=1800n=10 decagon

Page 20: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

5,2

180(n-2)/n=174180n-360=174n360=6nn=60

How many sides does a regular polygon have ifone of its interior angles measures 174 ?

Page 21: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

5,3

Sum of Exterior Anglesis always 360 degrees

What is the sum of the exterior anglesof a polygon with 36 sides ?

Page 22: Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100

5,4

A polygon that is both equilateral and equiangular?

Regular


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