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IM 2: Angles Inside & Outside Circle

Total questions: 25

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

A _____ line intersects a circle at exactly 1 point.

a)

tangent

b)

secant

2.

A ____ line intersects a circle at exactly 2 points.

a)

tangent

b)

secant

3.

Which of the following form angles outside a circle?

a)

2 Tangents

b)

Tangent-secant

c)

2 Secants

d)

All of the above

4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

7.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

8.

If arc XV = 68° and ∠ YUV = 36° , what is the measure of arc VY?

a)

120°

b)

130°

c)

140°

d)

150°

9.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
10.
a)

109

b)

80

c)

74.5

d)

40

11.
Find angle x.
a)
75o
b)
85o 
c)
80o 
d)
78o
12.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
13.
a)

70

b)

40

c)

55

d)

19

14.

What is the measure of angle F?

a)

39

b)

41

c)

57

d)

99

15.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
16.

If minor arc AC = 96° , what is the measure of ∠ ABC?

a)

53°

b)

64°

c)

72°

d)

84°

17.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
18.

What is the measure of arc KR?

a)

122

b)

99

c)

146

d)

114

19.

What is the value of x?

a)

4

b)

11

c)

19

d)

10

20.
Find m∠UST.
a)
119°
b)
163°
c)
44°
d)
61°
21.
What is the measure of arc AD?
a)
137
b)
136
c)
135
d)
134
22.

What is the value of x?

a)

12

b)

10

c)

8

d)

6

23.

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

a)

35°

b)

40°

c)

45°

d)

50°

24.
a)
A
b)
B
c)
C
d)
D
25.

Find the arc indicated.

a)

110

b)

-12

c)

105

d)

234