11 Inscribed Angles

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Kuta Software - Infinite Geometry Name___________________________________
 Period____Date________________Inscribed Angles
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
1) 
A
B
C
2) 
K
L
M
3) 
X
WV
4) 
ML
K
Find the measure of the arc or angle indicated.
5) 
A
B
C
?
80°
6) 
VW
X
42°
?
7) 
F
E
D
P
35°
?
8) 
D
C
B
?
49°
70°
 
 
 
 
 
 
 
-1-
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9) 
F
G
H
V 65°
119°
168°?
10) 
S
R
Q
75°
95°
?
 
 
 
Solve for 
 
 
 
x.
11) 
P
Q
R
K
110°
50°
30
 
x
12) 
G
F
E
 
31
 
x + 3
192°
Find the measure of the arc or angle indicated.
13) Find m∠NLM
 
L
M
N
 
13
 
x − 10
 
7
 
x − 10
14) Find mFGH
 
F
G
H
A
 
38
 
x + 5
 
21
 
x − 2
 
 
 
 
 
Solve for 
 
 
 
x and 
 
 
 
y.
15) 
L
M
N
X
10
 
x
 
10
 
x − 6
 
16
 
y + 6
 
4 + 18
 
y
16) 
L
M
N
V
 
7
 
x + 1
 
6
 
x − 10
 
2
 
y + 74
 
2
 
y + 100
-2-
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Kuta Software - Infinite Geometry Name___________________________________
 Period____Date________________Inscribed Angles
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
1) 
A
B
C
Yes; m∠BAC, BC
2) 
K
L
M
No
3) 
X
WV
Yes; m∠WXV, WV
4) 
ML
K
No
Find the measure of the arc or angle indicated.
5) 
A
B
C
?
80°
40°
6) 
VW
X
42°
?
84°
7) 
F
E
D
P
35°
?
110°
8) 
D
C
B
?
49°
70°
122°
 
 
 
 
 
 
 
-1-
©9 V280x1f2h 7K6uGtOa7 ISLoKf3thwrajrJeg JLTLWCV.U 6 0ASlmlX Dryingehjtos5 Urme3srepr3vMetd9.E r 2MiaTdHe1 cwmist9hu VIJn7fUizn5i4tGe0 vGzevoNmceEtzr9yY.J Worksheet by Kuta Software LLC
9) 
F
G
H
V 65°
119°
168°?
60° 10) 
S
R
Q
75°
95°
?
95°
 
 
 
Solve for 
 
 
 
x.
11) 
P
Q
R
K
110°
50°
30
 
x
3
12) 
G
F
E
 
31
 
x + 3
192°
3
Find the measure of the arc or angle indicated.
13) Find m∠NLM
 
L
M
N
 
13
 
x − 10
 
7
 
x − 10
30° 14) Find mFGH
 
F
G
H
A
 
38
 
x + 5
 
21
 
x − 2
238°
 
 
 
 
 
Solve for 
 
 
 
x and 
 
 
 
y.
15) 
L
M
N
X
10
 
x
 
10
 
x − 6
 
16
 
y + 6
 
4 + 18
 
y
 
x = 11, 
 
y = 4
16) 
L
M
N
V
 
7
 
x + 1
 
6
 
x − 10
 
2
 
y + 74
 
2
 
y + 100
 
x = 15, 
 
y = 0
-2-
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