Polygons and Polygon Angle Measures

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200 200

400 400

300

400

PolygonsSum of Interior

AnglesEach Interior

AngleExterior Angles

300 300 300

200

400

200

100

500 500 500 500

100

Row 1, Col 1

The sum of the interior angles of a hexagon equals:

6-2=44(180)=720

1,2

1440/10=144

Find the measure of each interior angleof a regular decagon.

1,3

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

Sum of exterior anglesis always 360 degrees

1,4

What is the name of a polygon with 7 sides?

Heptagon

2,1

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

9-2=77(180)=1260

2,2

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

?Not a REGULAR hexagon

2,3

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

360/5=72

2,4

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

Equilateral

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

3,2

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

720/6=120

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 ?

3,4

10

A decagon has how many sides?

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

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

4,3

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

360/10=36

4,4

Concave

Is the polygon concave or convex?

5,1

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

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

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 ?

5,3

Sum of Exterior Anglesis always 360 degrees

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

5,4

A polygon that is both equilateral and equiangular?

Regular