Pairs of Angles Practice Questions

Review the following concept if necessary: Pairs of Angles Study Guide

Pairs of Angles Practice Questions

Problems

Find the measure of a complement of 1 for each of the following measures of 1.

1. m1 = 44°
2. m1 = 68°
3. m1 = 80°
4. m1 = 25°
5. m1 = 3°

Find the measure of a supplement of 2 for each of the following measures of 2.

6. m2 = 78°
7. m2 = 130°
8. m2 = 60°
9. m2 = 155°
10. m2 = 1°

Use the following figure to answer practice problems 11–13.

11. Name two supplement angles of DOE.
12. Name a pair of complementary angles.
13. Name two pairs of vertical angles.

State whether the following statements are true or false.

14. Complementary angles must be acute.
15. Supplementary angles must be obtuse.
16. Two acute angles can be supplementary.
17. A pair of vertical angles can be complementary.
18. A pair of vertical angles can be supplementary.
19. Vertical angles must have the same measure.
20. Complementary angles can be adjacent.
21. Supplementary angles can be adjacent.
22. Any two right angles are supplementary.
23. Two acute angles are always complementary.
24. An acute and an obtuse angle are always supplementary.
25. The intersection of two rays creates two pairs of vertical angles and four pairs of supplementary angles.

Use the following figure to answer practice problem 26.

26. A common error is assuming that any pair of angles that are "across from each other" are vertical. In this figure, 1 and 3 are vertical angles because they are formed by intersecting lines. Angles 2 and 4 are not vertical angles. Name three other pairs of nonadjacent angles that are also not vertical.

Use the following figure to answer practice problems 27–30.

27. List the supplementary angles of WAU.
28. List the complementary angles of WAX.
29. List the vertical angles shown in the figure.
30. What is the measure of ZAX.

Answers

1. 46°
2. 22°
3. 10°
4. 65°
5. 87°
6. 102°
7. 50°
8. 120°
9. 25°
10. 179°
11. AOE and COD
12. BOC and COD
13. AOE and COD; EOD and AOC
14. true
15. false
16. false
17. true
18. true
19. true
20. false
21. true
22. true
23. false
24. false
25. true
26. 2 and 5; 3 and 5; 1 and 4
27. XAWand YAU
28. XAZ and ZAX
29. XAY and WAU; XAWand YAU
30. 40°