Download Answers for the lesson “Describe Angle Pair Relationships”

LESSON
1.5
Answers for the lesson “Describe Angle Pair
Relationships”
Skill Practice
1.
A
16. B
17. 1358, 458
18. 678, 1138
19. 548, 368
20. vertical angles
21. linear pair
C
22. neither
B
D
No. Sample answer: Any two
angles whose angle measures add
up to 908 are complementary, but
they do not have to have a
common vertex and side.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
2. Yes; no. Sample answer: To be
a linear pair, the noncommon
sides of two adjacent angles must
be opposite rays, which make a
straight angle; supplementary
angles need not be linear pairs.
3. adjacent
4. not adjacent
24. neither
25. linear pair
26. neither
27. neither
28. 368 and 1448
29. The angles are complementary
so they should be equal to 908;
x 1 3x 5 908, 4x 5 90, x 5 22.5.
30. C
31. 10, 35
32. 14, 20
33. 55, 30
34. Never; an obtuse angle is larger
5. adjacent
6. ŽRTS and ŽUWV, ŽQTS and
ŽUWV
7. ŽGLH and ŽHLJ, ŽGLJ and
ŽJLK
8. 478
23. vertical angles
9. 698
10. 18
11. 858
12. 1208
13. 258
14. 508
15. 1538
than 908, and it is not possible to
have a complement of an angle
that is greater than 908.
35. Never; a straight angle is 1808,
and it is not possible to have a
complement of an angle that
is 1808.
36. Sometimes; all angles except a
straight angle have a supplement.
Geometry
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17
37. Always; the sum of
complementary angles is 908, so
each angle must be less than 908,
making them acute.
38. Always; an acute angle is less
than 908; since the sum of
supplementary angles is 1808 and
one of the angles is less than 908,
the other angle must be larger
than 908, which makes it obtuse.
39. 718, 198
40. 788, 128
41. 688, 228
42. 1248, 568
43. 588, 1228
44. 1328, 488
53. Sample answer: Subtract 908 from
mŽFGB.
54. The shadow gets shorter and the
angle measure increases.
55. a. y1 5 90 2 x, 0 < x < 90;
y 2 5 180 2 x, 0 < x < 180;
the measure of a complement
must be less than 908 and the
measure of its supplement must
be less than 1808.
b.
y
(0, 90)
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
45. (x 1 90)8. Sample answer: Since
mŽGHJ 5 x8 and ŽRST is its
complement, mŽRST 5
(90 2 x)8. ŽABC is a supplement
of ŽRST so mŽABC 5 1808 2
(90 2 x)8, mŽABC 5 (x 1 90)8.
(90, 0) x
y
(0, 180)
Problem Solving
46. complementary
47. neither
48. supplementary
49–52. Sample answers are given.
49. ŽFGB, ŽBGC
50. ŽFGE, ŽBGC
(180, 0) x
0 < y1 < 90, 0 < y2 < 180
56. 478, 438. Sample answer:
Solve the system: x 1 y 5 90,
x 1 y 2 86 5 x 2 y.
51. ŽAGE, ŽEGD
52. ŽAGB, ŽBGC
Geometry
Answer Transparencies for Checking Homework
18