Kuta Software - Infinite Geometry
Name___________________________________
Secant Angles
Date________________ Period____
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
1)
2)
R
Q
R
S
?
50°
S
55°
? P
175°
F
140°
A
T
Q
3)
4)
T
U
175°
F
H
53° V ?
57°
175°
S
G
F
E
?
T
5)
6)
R
144°
B
Q ?
D
194°
?
P
C
7)
8)
70°
A
A
60°
E
T
S
V
120°
D
85°
C
?
U
B
?
Solve for x. Assume that lines which appear tangent are tangent.
9)
R
10)
12 x + 8
D
70°
Q
P
S
4x + 4
141 x − 1
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S
Q
R
50°
-1-
Worksheet by Kuta Software LLC
11)
12)
55°
H
15 x + 11
E
L
E
88°
60°
F
G
13)
S
C
D
5 x + 15
14)
9x − 3
P
E
F
C
9x − 7
124°
R
Q
G
17 x − 2
197°
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
16) Find m∠QPR
15) Find mKLM
R
K
8 x + 14
131°
M
5x − 1
S
26 x − 2
P
L
Q
18 x + 1
V
17) Find mRB
18) Find mBC
D
8 x + 11
5 x − 10
B
E
60°
C
8x + 6
C
A
R
F
B
9x − 7
D
13 x + 7
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Secant Angles
Date________________ Period____
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
1)
2)
R
Q
R
S
?
50°
S
55°
? P
175°
F
140°
A
T
Q
45°
115°
3)
4)
T
U
175°
F
H
53° V ?
57°
175°
S
G
F
E
?
T
59°
114°
5)
6)
R
144°
B
Q ?
D
194°
?
P
C
97°
72°
7)
8)
70°
A
A
60°
E
T
S
V
120°
D
85°
C
?
U
B
?
180°
100°
Solve for x. Assume that lines which appear tangent are tangent.
9)
R
10)
12 x + 8
D
70°
Q
P
S
4x + 4
141 x − 1
Q
1
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S
R
50°
12
-1-
Worksheet by Kuta Software LLC
11)
12)
55°
H
15 x + 11
E
L
E
88°
60°
F
C
D
11
G
5 x + 15
10
13)
S
14)
9x − 3
P
E
F
C
9x − 7
124°
R
Q
G
17 x − 2
12
197°
6
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
16) Find m∠QPR
15) Find mKLM
R
K
8 x + 14
131°
M
5x − 1
S
26 x − 2
P
L
Q
18 x + 1
282°
V
102°
18) Find mBC
17) Find mRB
D
8 x + 11
5 x − 10
B
E
60°
C
8x + 6
C
A
R
F
B
9x − 7
D
75°
13 x + 7
150°
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Worksheet by Kuta Software LLC