Kuta Software - Infinite Geometry
Name___________________________________
Inscribed Angles
Date________________ Period____
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
1)
2)
C
L
B
M
K
A
3)
4)
X
K
L
V
M
W
Find the measure of the arc or angle indicated.
5)
6)
C
80°
X
42°
B
?
7)
V
W
A
?
8)
E
D
?
49°
35°
F
70°
D
P
?
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C
B
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Worksheet by Kuta Software LLC
9)
10)
G
75°
R
S
F
95°
?
168°
?
119°
V
65°
Q
H
Solve for x.
11)
12)
K
F
50°
110°
G
P
31 x + 3
R
30 x
192°
E
Q
Find the measure of the arc or angle indicated.
13) Find m∠NLM
14) Find mFGH
L
G
13 x − 10
21 x − 2
H
M
F
38 x + 5
A
7 x − 10
N
Solve for x and y.
15)
16)
L
L
10 x
X
4 + 18 y
10 x − 6
7x + 1
M
6 x − 10
V
16 y + 6
2 y + 100
2 y + 74
N
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M
N
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Inscribed Angles
Date________________ Period____
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
1)
2)
C
L
B
M
K
A
Yes; m∠BAC, BC
3)
No
4)
X
K
L
V
M
W
Yes; m∠WXV, WV
No
Find the measure of the arc or angle indicated.
5)
6)
C
80°
X
42°
B
?
V
W
A
?
40°
84°
7)
8)
E
D
?
49°
35°
F
70°
D
P
?
B
122°
110°
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C
-1-
Worksheet by Kuta Software LLC
60°
9)
G
10)
75°
R
S
F
95°
?
168°
?
119°
V
65°
Q
H
95°
Solve for x.
11)
12)
K
F
50°
110°
G
P
31 x + 3
R
30 x
192°
E
Q
3
3
Find the measure of the arc or angle indicated.
30°
13) Find m∠NLM
14) Find mFGH
L
G
13 x − 10
21 x − 2
H
M
38 x + 5
F
A
7 x − 10
N
238°
Solve for x and y.
15)
16)
L
L
10 x
X
10 x − 6
4 + 18 y
7x + 1
M
6 x − 10
V
16 y + 6
M
2 y + 100
2 y + 74
N
N
x = 11, y = 4
x = 15, y = 0
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Worksheet by Kuta Software LLC