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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Secant-Tangent and Tangent-Tangent Angles

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

1)

EF

G

?

76°2)

V

T

U

?

50°

3)

SR

Q

146°

?

4)

P

R

Q

120°

?

5)

M

L

K

130°

?

6)

S

R

P

Q

?

65°

44°

7)

J

L

K

110°

?

8)

K

L

N

M

129°

61°

?

Solve for

x

. Assume that lines which appear tangent are tangent.

9)

HG

E

F140°

48°

3

x

+ 13

10) T

V

U

110°

5

x

+ 10

-1-

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11)

P Q

S

R

190°

13

x

− 7

5

x

− 5

12)

FE

D

120°

7

x

− 10

13)

W U

V

37

x

+ 5

23

x

− 5

5

x

+ 17

14) C

B

A

38

x

+ 2

16

x

+ 4

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

15) Find mBD

B

D

C

−12 + 21

x

12

x

− 24

6

x

− 12

16) Find m∠DEG

D

E

G

F

6 + 14

x

58°

2

x

+ 14

17) mPSQ =

30

x

+ 6

Find mPSQ

R

Q

P

S

11

x

− 5

18) Find mNK

K

LN M

25

x

+ 3

9

x

+ 3

7

x

+ 6

-2-

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Secant-Tangent and Tangent-Tangent Angles

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

1)

EF

G

?

76°

208°

2)

V

T

U

?

50°

130°

3)

SR

Q

146°

?

73°

4)

P

R

Q

120°

?

60°

5)

M

L

K

130°

?

65°

6)

S

R

P

Q

?

65°

44°

153°

7)

J

L

K

110°

?

70°

8)

K

L

N

M

129°

61°

?

34°

Solve for

x

. Assume that lines which appear tangent are tangent.

9)

HG

E

F140°

48°

3

x

+ 13

11

10) T

V

U

110°

5

x

+ 10

12

-1-

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11)

P Q

S

R

190°

13

x

− 7

5

x

− 5

9

12)

FE

D

120°

7

x

− 10

10

13)

W U

V

37

x

+ 5

23

x

− 5

5

x

+ 17

6

14) C

B

A

38

x

+ 2

16

x

+ 4

5

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

15) Find mBD

B

D

C

−12 + 21

x

12

x

− 24

6

x

− 12

120°

16) Find m∠DEG

D

E

G

F

6 + 14

x

58°

2

x

+ 14

30°

17) mPSQ =

30

x

+ 6

Find mPSQ

R

Q

P

S

11

x

− 5

216°

18) Find mNK

K

LN M

25

x

+ 3

9

x

+ 3

7

x

+ 6

153°

-2-

Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Segment Lengths in Circles

Solve for

x

. Assume that lines which appear tangent are tangent.

1) 15

9

x

2)

4

x

5

3

3) 4

x

− 3

x

− 65

4)

64

x

5)

9

4

x

4

x

+ 2

8

6)

5

8

x

4

7) 6

x

5

8) 8

x

6

x

97

-1-

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Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.

9) Find UW

14

2

x

+ 2

2

x

+ 5

12T

U

V

W

C

10) Find KM

3

2

x

+ 5

24

K

W

ML

N

11) Find NM

x

+ 3

x

− 3

16

N

K

M

L

12) Find NL

4

x

− 8

x

− 5

3

NS

L

M

K

13) Find CE

9

2

x

− 1710

8

C

S

E

DF

14) Find CA

12

4

x

+ 1

3 + 3

x

14

DC

B

A

L

15) Find HG

x

+ 8

12

15

H

E

G

F

16) Find WS

9

8

6

x

12

x

P

Q

R

S

W

-2-

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Segment Lengths in Circles

Solve for

x

. Assume that lines which appear tangent are tangent.

1) 15

9

x

16

2)

4

x

5

3

2

3) 4

x

− 3

x

− 65

9

4)

64

x

5

5)

9

4

x

4

x

+ 2

8

4

6)

5

8

x

4

10

7) 6

x

5

4

8) 8

x

6

x

97

1

-1-

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Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.

9) Find UW

14

2

x

+ 2

2

x

+ 5

12T

U

V

W

C

33

10) Find KM

3

2

x

+ 5

24

K

W

ML

N

8

11) Find NM

x

+ 3

x

− 3

16

N

K

M

L

15

12) Find NL

4

x

− 8

x

− 5

3

NS

L

M

K

6

13) Find CE

9

2

x

− 1710

8

C

S

E

DF

16 14) Find CA

12

4

x

+ 1

3 + 3

x

14

DC

B

A

L

32

15) Find HG

x

+ 8

12

15

H

E

G

F

18

16) Find WS

9

8

6

x

12

x

P

Q

R

S

W

6

-2-

Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

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