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Worksheets

Arcs and Inscribed Angles

Total questions: 20

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

What is x?

a)

45o

b)

90o

c)

22.5o

d)

128o

2.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
3.
Find a and b.
a)

a=74 degrees b=93 degrees

b)

a=93 degrees b=74 degrees

c)

a=87 degrees b=106 degrees

d)

a=106 degrees b=87 degrees

4.
a)

56°56\degree

b)

34°34\degree

c)

68°68\degree

d)

17°17\degree

5.
What is the measure of arc DC?
a)
140
b)
98
c)
122
d)
61
6.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
7.

Solve for x.

a)

15

b)

23

c)

2

d)

92

8.
In a circle (or congruent circles), congruent arcs:
a)

have congruent chords

b)

have congruent points

c)

are twice the measure of their radii

d)

are equal to the measure of their radii

9.
What is the value of x?
a)
11
b)
88
c)
44
d)
22
10.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
11.
In a circle (or congruent circles), the measure of an arc is:
a)

equal to half of the measure of its corresponding central angle

b)

equal to the measure of its corresponding central angle

c)

equal to the measure of its circle's radii

d)

equal to the measure of its circle's diameter

12.
In a circle (or congruent circles), the measure of an arc is:
a)

equal to twice the measure of its corresponding inscribed angle

b)

equal to the measure of its corresponding inscribed angle

c)

equal to half of the measure of its corresponding inscribed angle

13.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
14.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
15.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
16.

JIGJJI\cong GJ

What is the measure of arc JHJH ?

a)

45

b)

90

c)

30

d)

60

17.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

18.
Given the following inscribed quadrilateral, what is the value of y?
a)
10
b)
20
c)
30
d)
40
19.

opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

a)

complements

b)

supplements

c)

congruent

d)

opposite

20.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200