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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
The Exterior Angle Theorem
Find the measure of each angle indicated.
1)
V
R
120°
50°
?
U
T
2)
T
P
115°
50°
?
U
V
3)
U Y
50°
70°
?
T
S
4)
R
P
25°
80°
?
S
T
5)
D
C T
140°
45°
?
E
6)
U
S
J
110°
80°
?
T
7)
G
T
E
58°
28°
?
F
8)
Q
P
G
95°
35°
?
R
Solve for
x
.
9)
R H
8 + 6
x
4
x
+ 2
30°
Q
P
-1-
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Worksheet by Kuta Software LLC
10)
U
A
11
x
+ 2
5
x
+ 10 58°
T
S
11)
B
W
18
x
+ 5
−1 + 8
x
46°
C
D
12)
C
A
Q
12
x
− 4
10
x
− 10
30°
B
13)
DA B
15
x
+ 5
22
x
+ 4
120°
C
14)
B VD
20
x
+ 5
9
x
− 2
40°
C
Find the measure of the angle indicated.
15) Find m
∠
S.
RJ
3
x
+ 4
8
x
+ 4
140°
S
T
16) Find m
∠
H.
F
D
14
x
+ 1
5
x
− 7
89°
G
H
17) Find m
∠
FAB.
C
A
F
13
x
− 3
3
x
+ 2
55°
B
18) Find m
∠
YDC.
C
D
Y
15
x
+ 5
6
x
+ 6
80°
B
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
The Exterior Angle Theorem
Find the measure of each angle indicated.
1)
V
R
120°
50°
?
U
T
70°
2)
T
P
115°
50°
?
U
V
65°
3)
U Y
50°
70°
?
T
S
120°
4)
R
P
25°
80°
?
S
T
105°
5)
D
C T
140°
45°
?
E
95°
6)
U
S
J
110°
80°
?
T
30°
7)
G
T
E
58°
28°
?
F
86°
8)
Q
P
G
95°
35°
?
R
130°
Solve for
x
.
9)
R H
8 + 6
x
4
x
+ 2
30°
Q
P
12
-1-
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Worksheet by Kuta Software LLC
10)
U
A
11
x
+ 2
5
x
+ 10 58°
T
S
11
11)
B
W
18
x
+ 5
−1 + 8
x
46°
C
D
4
12)
C
A
Q
12
x
− 4
10
x
− 10
30°
B
12
13)
DA B
15
x
+ 5
22
x
+ 4
120°
C
3
14)
B VD
20
x
+ 5
9
x
− 2
40°
C
3
Find the measure of the angle indicated.
15) Find m
∠
S.
RJ
3
x
+ 4
8
x
+ 4
140°
S
T
40°
16) Find m
∠
H.
F
D
14
x
+ 1
5
x
− 7
89°
G
H
38°
17) Find m
∠
FAB.
C
A
F
13
x
− 3
3
x
+ 2
55°
B
75°
18) Find m
∠
YDC.
C
D
Y
15
x
+ 5
6
x
+ 6
80°
B
140°
-2-
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