AnswersReading HS- Integrated Math ICongruent Angle Pairs

Parallel Lines and Angles Answers

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Analyze the diagram below and answer the question that follows. Analyze the diagram below and answer the questions that follow. Image by e2020In the diagram, the lines dividing the parking spaces are parallel. What must be true about and ? What theorem supports your conclusion?

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A
and are supplementary; alternate exterior angles theorem
B
; alternate exterior angles theorem
C
and are supplementary; consecutive exterior angles theorem
D
; consecutive exterior angles theorem
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Analyze the diagram below and complete the instructions that follow.Name two pairs of parallel lines in the figure.

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and
B
and
C
and
D
and
3

Analyze the diagram below and complete the instructions that follow. Find the measure of . State the theorem used to justify your answer.

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A
, alternate interior angles theorem
B
, consecutive interior angles theorem
C
, alternate interior angles theorem
D
, consecutive interior angles theorem
4

Analyze the diagram below and complete the instructions that follow. Given that and , find the measure of . 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 answer the question that follows. and form which type of angle pair?

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A
corresponding angles
B
alternate interior angles
C
consecutive interior angles
D
alternate exterior angles
6

Analyze the diagram below and complete the instructions that follow. Name two pairs of alternate exterior angles.

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A
and and
B
and and
C
and and
D
and and
7

Analyze the diagram below and complete the instructions that follow. Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y.

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A
x = 10, y = 130
B
x = 65, y = 10
C
x = 65, y = 130
D
x = 130, y = 10
8

Analyze the diagram below and complete the instructions that follow.The diagram above contains contradictory information. Explain the contradiction.

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A
Since and are consecutive interior angles, they are supplementary angles. Hence, . When you solve for x, your answer is x = 60. and . The measurement of an angle cannot be a negative number for this problem.
B
Since and are consecutive interior angles, they are congruent angles. Hence, . When you solve for x, you get x = 0. This would make and = 0°. The measurement of an angle cannot be 0° for this problem.
C
Since and are alternate interior angles, they are supplementary. Hence, . When you solve for x, you get x = 60. This would make and . The measurement of an angle cannot be a negative number for this problem.
D
Since and are alternate interior angles, they are congruent. Hence, . When you solve for x, you get x = 0. This would make and . The measurement of an angle cannot be a negative number for this problem.
9

Analyze the diagram below and complete the instructions that follow. Given that and , name all angles supplemental to . A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
10

Analyze the diagram below and answer the question that follows.In the figure, which angle has the same measure as ? A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D

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