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Class:
Date:
3-2 Angles and Parallel Lines (Practice)
Indicate the answer choice that best completes the statement or answers the question.
In the figure, m 2 = 92, and m 12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you
used.
1.
10
a. 92; Corresponding Angles Theorem
b. 92; Alternate Interior Angles Theorem
c. 88; Consecutive Interior Angles Theorem
d. 88; Supplementary Angles Theorem
2.
8
a. 92; Corresponding Angles
b. 92; Vertical Angles
c. 88; Supplementary Angles
d. 88; Consecutive Interior Angles
3.
9
a. 92; Corresponding Angles Theorem, Supplementary Angles
b. 92; Vertical Angles, Alternate Interior Angles
c. 88; Vertical Angles, Alternate Interior Angles
d. 88; Corresponding Angles Theorem, Supplementary Angles
4.
5
a. 74; Vertical Angles
b. 74; Alternate Exterior Angles
c. 106; Supplementary Angles
d. 106; Consecutive Angles
5.
11
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3-2 Angles and Parallel Lines (Practice)
a. 106; Supplementary Angles
b. 106; Consecutive Angles
c. 74; Vertical Angles
d. 74; Alternate Interior Angles
6.
13
a. 106; Vertical Angles
b. 106; Supplementary Angles
c. 74; Alternate interior Angles
d. 74; Consecutive Interior Angles
Find the value of the variable(s) in each figure. Explain your reasoning.
7.
a. x = 14, y = 37; Use supplementary and alternate exterior angles.
b. x = 14, y = 37; Use vertical and supplementary angles.
c. x = –2, y = 49; Use vertical and supplementary angles.
d. x = –2, y = 49; Use supplementary and alternate exterior angles.
8.
a. x = –3.5, y = 2; Use corresponding and supplementary angles.
b. x = –3.5, y = 2; Use alternate interior and supplementary angles.
c. x = 28, y = 23; Use corresponding and supplementary angles.
d. x = 28, y = 23; Use alternate interior and supplementary angles.
Find m 1. (Hint: Draw an auxiliary line.)
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3-2 Angles and Parallel Lines (Practice)
9.
a. 130
b. 100
c. 50
d. 80
10.
a. 36
b. 82
c. 98
d. 144
11. PROOF Write a paragraph proof of Theorem 3.3.
Given:
Prove:
Indicate the answer choice that best completes the statement or answers the question.
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3-2 Angles and Parallel Lines (Practice)
12. FENCING A diagonal brace strengthens the wire fence and prevents it from sagging. The brace makes a 50° angle
with the wire as shown. Find the value of the variable.
a. 40
b. 50
c. 130
d. 140
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3-2 Angles and Parallel Lines (Practice)
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