Download Geometry Worksheet 8

Geometry Worksheet 8.1
Polygon Angles
Name __________________
Per __ Date _____________
1. Each of the shapes below are regular polygons. Find the measure of each angle.
a=
b=
c=
d=
e=
f=
g=
h=
2. How many sides does a quadrilateral
have? __________________
Find the sum of the interior measures of
a quadrilateral.
Work:
3. How many sides does a dodecagon
have? ________________________
Find the sum of the interior measures of a
dodecagon.
Work:
4. How many sides does a heptagon have?
________________________
Find the sum of the interior measures of a
heptagon.
Work:
5. How many sides does a unadecagon
have? ________________________
Find the sum of the interior measures of a
undecagon.
Work:
6. How many sides does a decagon have?
________________________
Find the sum of the interior measures of a
dodecagon.
Work:
7. How many sides does a 32-gon have?
________________________
Find the sum of the interior measures of a
32-gon.
Work:
8. How many sides does a triangle have?
__________ Find the measure of one
interior angle in a regular triangle.
Work:
9. How many sides does a pentagon
have?__________ Find the measure of one
interior angle in a regular triangle.
Work:
10. How many sides does an octagon
have?__________ Find the measure of one
interior angle in a regular octagon.
Work:
11. How many sides does a hexagon
have?__________ Find the measure of one
interior angle in a regular hexagon.
Work:
12. How many sides does a nonagon
have?__________ Find the measure of one
interior angle in a regular nonagon.
Work:
13. How many sides does a 23-gon have?
__________ Find the measure of one
interior angle in a regular 23-gon.
Work:
14. If the sum of the interior angles in a
polygon is 2340  , find the number of
sides the polygon has.
Equation:
15. If one of the interior angles in a
regular polygon is 156  , find the number
of sides the polygon has.
Equation:
Work:
Work:
16. If the sum of the interior angles in a
polygon is 1080  , find the number of sides
the polygon has.
Equation:
17. If one of the interior angles in a
regular polygon is 108  , find the number
of sides the polygon has.
Equation:
Work:
Work:
18. If the sum of the interior angles in a
polygon is 1980  , find the number of sides
the polygon has.
Equation:
19. If one of the interior angles in a
regular polygon is 156  , find the number
of sides the polygon has.
Equation:
Work:
Work:
20. If the sum of the interior angles in a
polygon is 3600  , find the number of sides
the polygon has.
Equation:
21. If one of the interior angles in a
regular polygon is 90  , find the number of
sides the polygon has.
Equation:
Work:
Work:
22. If the sum of the interior angles in a
polygon is 180  , find the number of sides
the polygon has.
Equation:
23. If one of the interior angles in a
regular polygon is 150  , find the number
of sides the polygon has.
Equation:
Work:
Work: