Chapter 1 Angles Review
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Use the diagram at the right to answer Exercises 1 – 5.
1.
2.
3.
4.
5.
Use the diagram at the right for Exercises 6 – 8.
6. What are two other names for 1?
7. Classify 1.
8. If mWXZ = 122, what is an expression to represent mWXY?
Use the diagram at the right for Exercises 9 – 11.
9. Name a pair of vertical angles.
10. Name a pair of complementary angles.
11. Name a pair of supplementary angles.
Use the diagram at the right for Exercises 12 – 14.
12. What is the value of m?
13. What is
?
14. What is
?
Use the diagram at the right for Exercises 15 – 16.
15. If
16. If
and
find
and
.
find the value of x.
Use the diagram at the right for Exercises 17 – 20.
17. Name a pair of vertical angles.
18. Name a pair of supplementary angles.
19. Name a linear pair.
20. Name a pair of complementary angles.
Determine if each statement is sometimes, always, or never true. Explain.
21. A straight angles is
.
22. Complementary angles are congruent.
23. Acute angles are greater than
Answer the following questions in complete sentences.
24. Elsa draws an angle that measures 56. Tristan draws a congruent angle. Tristan says his angle is obtuse. Is
he correct? Why or why not?
25. JNR and RNX are congruent. If the sum of the measures of the two angles is 180, what type of angle are
they?
Review Answers
1. 130
2. 70
3. 30
4. 50
5. 90
6. angle WXY and angle YXW
7. acute
8. angle WXY = 122 – a
9. angle ACB and angle FCD, other angles pairs
10. angle CFD and angle DFE, other angle pairs
11. angle ACB and angle BCD, other angle pairs
12. m = 10
13. angle PQR = 141
14. angle SQR = 39
15. angle PQR = 36
16. x = 14
17. angle ADE and angle CDF or angle ADC and angle EDF
18. angle ADC and angle CDF, other angle pairs
19. angle FDE and angle EDA, other angle pairs
20. angle ADB and angle BDC
21. always, because a straight angle is a line and a line is always 180
22. sometimes, because 45 + 45 = 90 and 45 is congruent to 45
23. never, because acute angles are angles that measure between 0 and 90
24. Tristan is incorrect because if his angle is congruent it is also 56 and a 56 angle is acute
25. Angles JNR and RNX are right angles because 90 + 90 = 180 and 90 is congruent to 90.