Page 653 - Basic College Mathematics with Early Integers

630 C HAPTE R 9 I GEOMETRY

Review

Perform each indicated operation. See Sections 3.3, 3.5, and 3.7.

7 1 7 1 7 1 7 1
57. + 58. - 59. # 60. ,
8 4 8 4 8 4 8 4

1 1 1 1 1 1 1 1
61. 3 - 2 62. 3 + 2 63. 3 , 2 64. 3 # 2
3 2 3 2 3 2 3 2

Concept Extensions

65. The angle between the two walls of the Vietnam 66. The faces of Khafre’s Pyramid at Giza, Egypt, are
Veterans Memorial in Washington, D.C., is 125.2°. inclined at an angle of 53.13°. Find the complement of
Find the supplement of this angle. (Source: National this angle. (Source: PBS NOVA Online)
Park Service)

Answer true or false for Exercises 67 through 70. See the Concept Check in this section. If false, explain why.

67. The complement of a 100° angle is an 80° angle. 68. It is possible to find the complement of a 120° angle.

69. It is possible to find the supplement of a 120° angle. 70. The supplement of a 5° angle is a 175° angle.

71. If lines m and n are parallel, find the measures of 72. Below is a rectangle. List which segments, if extended,
angles a through e. would be parallel lines.
A B
70 a m
b

c d 60 e
n
C D
73. Can two supplementary angles both be acute? 74. In your own words, describe how to find the
Explain why or why not. complement and the supplement of a given angle.
Copyright 2012 Pearson Education, Inc.

75. Find two complementary angles with the same 76. Is the figure below possible? Why or why not?
measure.

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