Free Printable Angles Formed by Intersecting Chords and Secants

1.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

2.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

3.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc AD = 156° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

4.

In the circle, find the measure of angle CAB.

a)

A

b)

B

c)

C

d)

D

5.

If arc VY = 132° and arc XV = 50°, what is the measure of ∠ YUV?

a)

82°

b)

91°

c)

182°

d)

41°

6.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

7.

Find the value of x

a)

$46\degree$

b)

$23\degree$

c)

$140\degree$

d)

$70\degree$

8.

Find the measure of ∠ABD.

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

9.

a)

$59\degree$

b)

$29.5\degree$

c)

$191\degree$

d)

$95.5\degree$

10.

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

a)

45°

b)

50°

c)

55°

d)

60°

11.

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

a)

44°

b)

47°

c)

50°

d)

53°

12.

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

a)

120°

b)

130°

c)

140°

d)

150°

13.

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

a)

53°

b)

64°

c)

72°

d)

84°

14.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

15.

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

a)

120°

b)

130°

c)

140°

d)

150°

16.

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

a)

35°

b)

40°

c)

45°

d)

50°

17.

If the angle is formed by intersecting chords or secants inside the circle, we take half of the _____ of the arcs

a)

sum

b)

McChicken

c)

difference

d)

double

18.

If we have an angle that is on the circle with a tangent we take half the _____ of the intercepted arc.

a)

sum

b)

difference

c)

measure

d)

multiply

19.

If the angle is formed outside of the circle we take half of the ______ of the two intercepted arcs

a)

sum

b)

difference

c)

measure

d)

Quarterpounder

20.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

21.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

22.

What is the measure of angle 1?

a)

130

b)

65

c)

44

d)

86

23.

Find the measure of Arc AD

a)

45 degrees

b)

25 degrees

c)

32 degrees

d)

42 degrees

24.

Find the measure of Angle JLK

a)

31 degrees

b)

24 degrees

c)

32 degrees

d)

43 degrees

25.

Find the measure of arc QS

a)

102 degrees

b)

105 degrees

c)

42 degrees

d)

104 degrees

26.

Find the measure of angle EFG

a)

42 degrees

b)

34 degrees

c)

46 degrees

d)

41 degrees

27.

Find the measure of arc HJ

a)

38 degrees

b)

37 degrees

c)

39 degrees

d)

40 degrees

28.

Which equation would you use to solve for x?

a)

$5x-4=2\left(119+27\right)$

b)

$5x-7=\frac{1}{2}\left(119+27\right)$

c)

$5x+7=\frac{1}{2}\left(119+27\right)$

d)

13

29.

Which equation would you create to solve for x?

a)

2x + 7 + 32 = 180

b)

3x + 5 + 78 = 180

c)

$2x+7=\frac{1}{2}\left(78-32\right)$

d)

$2x+7=\frac{1}{2}\left(32-78\right)$

30.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

Angles Formed by Intersecting Chords and Secants

Total questions: 30

Worksheet time: 1hrs 4mins

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