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Geometry
Student Number:
Angles of Polygons Homework
Is it a polygon?
1.
2.
3.
_____
4.
_____
5.
_____
_____
_____
Name that polygon.
6) ____________ 11 sides
7) ____________ 8 sides
8) ____________ 12 sides
9) ____________ 7 sides
10) ____________ 9 sides
11) ____________ 5 sides
Is it a regular polygon?
12.
_____
13.
4
120°
______
14. _____
7
120°
4
7
4
120°
120°
4
120°
120°
108°
4
108°
4
7
7
4
4
7
108°
108°
7
108°
7
Find each measure of each regular polygon.
15.
16.
Exterior Angle Sum _____
Single Exterior Angle _____
Interior Angle Sum _____
Single Interior Angle _____
17.
octagon
Exterior Angle Sum _____
Single Exterior Angle _____
Interior Angle Sum _____
Single Interior Angle _____
Exterior Angle Sum _____
Single Exterior Angle _____
Interior Angle Sum _____
Single Interior Angle _____
18.
15-gon
Exterior Angle Sum _____
Single Exterior Angle _____
Interior Angle Sum _____
Single Interior Angle _____
_______ 19. Find the sum of the exterior angles of a convex heptagon.
Geometry
Student Number:
Angles of Polygons Homework
_______ 20. Find the sum of the interior angles of nonagon.
_______ 21. The measure of each exterior angle of an regular polygon is 45. Name the
polygon.
_______ 22. One interior angle of a regular polygon is 162. Find the number of sides.
_______ 23. The sum of the interior angles of a polygon equals 3240. Find the number of
sides.
Find the value of x in the following problems.
24.
120°
(2x  5)°
(3x  25)°
2x°
2x°
25.
4x
2x
3x - 30
3x + 30
True or False.
_____26.
The sum of the interior angles can only be found from a regular polygon.
_____27.
A polygon which is both equilateral and equiangular is a regular polygon.
_____28.
The sum of the exterior angles of a convex polygon is always 360º.
_____29.
An exterior angle of a polygon is always smaller than its adjacent interior angle.