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 ∠1 and ∠2 form a linear pair.
m∠3 = 105 ∠3 and ∠2 form a linear pair.
m∠4 = 75 ∠4 and ∠2 are vertical angles.
m∠5 = 105 ∠5 and ∠3 are alternate interior angles.
m∠6 = 75 ∠6 and ∠2 are corresponding angles.
m∠7 = 105 ∠7 and ∠3 are corresponding angles.
m∠8 = 75 ∠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 12. ∠16
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 11 Glencoe Geometry