Secants, Tangents, and Angles Answers

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1
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Analyze the diagram below and complete the instructions that follow. In , if ° and , find .

Question illustration
A
= 62°
B
= 85°
C
= 107°
D
= 117°
2
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Analyze the diagram below and answer the question that follows. Chord intersects tangent to form (labeled ). Which of the following gives an approximate value for ? A. m 90° Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
3

Analyze the diagram below and complete the instructions that follow. Find x and y. A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
4

Analyze the diagram below and complete the instructions that follow. shows tangents and intersecting to form . Find the value of x. A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
5

Analyze the diagram below and complete the instructions that follow. In , tangent and chord intersect to form . Find .

Question illustration
A
118°
B
236°
C
242°
D
354°
6

Analyze the diagram below and complete the instructions that follow. Chord intersects tangent to form . Find .

Question illustration
A
= 30°
B
= 60°
C
= 120°
D
= 240°
8

Analyze the diagram below and complete the instructions that follow. Secants and intersect and form an angle at point L. Solve for x. A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

Analyze the diagram below and complete the instructions that follow. Given that and are tangent to the circle and that , find . Round to the hundredths place.

Question illustration
A
= 102.07°
B
= 104.14°
C
= 106.18°
D
= 108.28°
10

Analyze the diagram below and complete the instructions that follow. Given the figure, find the measures of angles 1 and 2.

Question illustration
A
= 15° = 165°
B
= 85° = 95°
C
= 95° = 95°
D
= 160° = 20°

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