1. Polygons and Polygon Angle Measures
Jeopardy
Polygons and Polygon Angle Measures

2. Sum of Interior Angles
Each Interior Angle
Exterior Angles
Polygons
100
100
100
100
200
200
200
200
300
300
300
300
400
400
400
400
500
500
500
500

3. The sum of the interior angles of a hexagon equals:
6-2=4
4(180)=720
The sum of the interior angles of a hexagon equals:
Row 1, Col 1

4. Find the measure of each interior angle
1440/10=144
Find the measure of each interior angle
of a regular decagon.
1,2

5. How many degrees are there in the sum of
Sum of exterior angles
is always 360 degrees
How many degrees are there in the sum of
the exterior angles of a dodecagon ?
1,3

6. What is the name of a polygon with 7 sides?
Heptagon
What is the name of a polygon with 7 sides?
1,4

7. 9-2=7 7(180)=1260 2,1 How many degrees are there in the sum of the
interior angles of a nine sided polygon ?
2,1

8. ? Not a REGULAR hexagon 2,2 How many degrees are there in
each interior angle of a hexagon ?
2,2

9. 360/5=72 2,3 Find the number of degrees in each
exterior angle of a regular pentagon.
2,3

10. What is a polygon with all sides of the same length?
Equilateral
What is a polygon with all sides of the same length?
2,4

11. 180(n-2)=900
180n-360=900
180n=1260
n=7
If the sum of the interior angles of a polygon equals 900,
how many sides does the polygon have?
3,1

12. 720/6=120 3,2 If a regular polygon has 6 sides, how many
degrees are there in any one of its angles ?
3,2

13. 360/n=40
40n=360
n=9
If each exterior angle of a regular polygon contains
40 deg, how many sides does the polygon have ?
3,3

14. 10
A decagon has how many sides?
3,4

15. 180(n-2)=2160
180n-360=2160
180n=2520
n=14
How many sides does a polygon have if the
sum of its interior angles is 2160º?
4,1

16. 180(n-2)/n=162
180n-360=162n
360=18n
n=20
Each interior angle of a regular polygon measures 162.
How many sides does the polygon have ?
4,2

17. 360/10=36 4,3 What is the measure of one exterior
angle of a regular decagon ?
4,3

18. Is the polygon concave or convex?
4,4

19. 180(n-2)=1440
180n-360=1440
180n=1800
n=10 decagon
What is a polygon called if the sum
of its interior angles equals 1440?
5,1

20. 180(n-2)/n=174
180n-360=174n
360=6n
n=60
How many sides does a regular polygon have if
one of its interior angles measures 174 ?
5,2

21. What is the sum of the exterior angles
Sum of Exterior Angles
is always 360 degrees
What is the sum of the exterior angles
of a polygon with 36 sides ?
5,3

22. A polygon that is both equilateral and equiangular?
Regular
A polygon that is both equilateral and equiangular?
5,4