Download 6.1 worksheet

Geometry Worksheet 6.1
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 triangle have?
__________ Find the measure of one
interior angle in a regular triangle.
Work:
7. How many sides does a pentagon
have?__________ Find the measure of one
interior angle in a regular pentagon.
Work:
8. How many sides does an octagon
have?__________ Find the measure of one
interior angle in a regular octagon.
Work:
9. How many sides does a hexagon
have?__________ Find the measure of one
interior angle in a regular hexagon.
Work:
10. If the sum of the interior angles in a
polygon is 2340  , find the number of
sides the polygon has.
Equation:
11. If the sum of the interior angles in a
polygon is 1080  , find the number of sides
the polygon has.
Equation:
Work:
Work:
12. If the sum of the interior angles in a
polygon is 1980  , find the number of sides
the polygon has.
Equation:
13. If one of the interior angles in a
regular polygon is 156  , find the number
of sides the polygon has.
Equation:
Work:
Work:
14. How many sides does a nonagon
have?__________ Find the measure of one
interior angle in a regular nonagon.
Work:
15. How many sides does a 23-gon have?
__________ Find the measure of one
interior angle in a regular 23-gon.
Work:
16. Find the sum of the exterior angles
of a triangle:
17. Find the sum of the exterior angles of
a 102-gon:
18. Find the sum of the exterior angles of
heptagon:
19. Find the sum of the exterior angles of
a 34-gon:
13. Find the measure of one exterior
angle of a regular 13-gon:
14. Find the measure of one exterior angle
of a regular heptagon:
15. Find the measure of one exterior angle
of a regular dodecagon:
16. Find the measure of one exterior
angles of a regular 19-gon: