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Name
Class
Date
Practice 3-4
The Polygon Angle-Sum Theorems
Find the values of the variables for each polygon. Each is a regular polygon.
1.
2.
y
3.
n
x
a
b
Find the missing angle measures.
A
x
4.
H
150
124
5.
B
93
E 160
F
D
7.
100 80
Q
x
97
8. A
S
130
54
9.
x
T
P
K
C
x
N
E
F
135 147
G
D 110
128
x
130
U
48
112
M
B
43
71
I
130
J
x
K
C
R
6. L
G
91
118
H
135
J
For a regular 12-sided polygon, find each of the following.
11. the measure of an interior angle
The measure of an interior angle of a regular polygon is given. Find the
number of sides.
12. 120
13. 108
14. 135
Identify each item in Exercises 15–18 in the figure.
B
15. quadrilateral
16. exterior angle
F
A
17. pair of supplementary angles
18. pentagon
E
19. A regular polygon has an exterior angle of measure 18.
How many sides does the polygon have?
4
Lesson 3-4 Practice
D
C
Geometry Chapter 3
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10. the measure of an exterior angle