Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each...
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Transcript of Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each...
Polygons and Polygon Angle Measures
100 100
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