11-Inscribed Angles - Kuta Software

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

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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