NAME _____________________________________________ DATE ____________________________ PERIOD _____________
3-2 Study Guide and Intervention
Angles and Parallel Lines
Parallel Lines and Angle Pairs When two parallel lines are cut by a transversal, the following pairs of angles are
congruent.
• corresponding angles
• alternate interior angles
• alternate exterior angles
Also, consecutive interior angles are supplementary.
Example: In the figure, m∠ 2 = 75. Find the measures of the remaining angles.
m∠ 1 = 105
m∠ 3 = 105
m∠ 4 = 75
m∠ 5 = 105
m∠ 6 = 75
m∠ 7 = 105
m∠ 8 = 75
∠ 1 and ∠ 2 form a linear pair.
∠ 3 and ∠ 2 form a linear pair.
∠ 4 and ∠ 2 are vertical angles.
∠ 5 and ∠ 3 are alternate interior angles.
∠ 6 and ∠ 2 are corresponding angles.
∠ 7 and ∠ 3 are corresponding angles.
∠ 8 and ∠ 6 are vertical angles.
Exercises
In the figure, m∠ 3 = 102. Find the measure of each angle.
Tell which postulate(s) or theorem(s) you used.
1. ∠ 5
2. ∠ 6
3. ∠ 11
4. ∠ 7
5. ∠ 15
6. ∠ 14
In the figure, m∠ 9 = 80 and m∠ 5 = 68. Find the measure
of each angle. Tell which postulate(s) or theorem(s) you used.
7. ∠ 12
8. ∠ 1
9. ∠ 4
10. ∠ 3
11. ∠ 7
Chapter 3
12. ∠ 16
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Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
3-2 Skills Practice
Angles and Parallel Lines
In the figure, m∠ 2 = 70. Find the measure of each angle.
1. ∠ 3
2. ∠ 5
3. ∠ 8
4. ∠ 1
5. ∠ 4
6. ∠ 6
In the figure, m∠ 7 = 100. Find the measure of each angle.
7. ∠ 9
8. ∠ 6
9. ∠ 8
10. ∠ 2
11. ∠ 5
12. ∠ 11
In the figure, m∠ 3 = 75 and m∠ 10 = 105. Find the measure of each angle.
13. ∠ 2
14. ∠ 5
15. ∠ 7
16. ∠ 15
17. ∠ 14
18. ∠ 9
Find the value of the variable(s) in each figure. Explain your reasoning.
19.
20.
21.
22.
Chapter 3
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Glencoe Geometry