Basic Mathematics for College Students

89. Refer to the figure below where ,
    , and.
    a. What is the complement of?
    b. What is the supplement of?


90. Refer to the figure below where.
    a. What is the measure of?
    b. What is the supplement of?


91. Find the supplement of the complement of a
    51° angle.


92. Find the complement of the supplement of a
    173° angle.


93. Find the complement of the complement of a
    1° angle.


94. Find the supplement of the supplement of a
    6° angle.

APPLICATIONS

95. MUSICAL INSTRUMENTS Suppose that you
    are a beginning band teacher describing the correct
    posture needed to play various instruments. Using
    the diagrams shown below, approximate the angle
    measure (in degrees) at which each instrument
    should be held in relation to the student’s body.
    a. flute b.clarinet c. trumpet

F

E

A

C

38°

T Q

B

S

AET

AEF

EBS  BES

AB

D C

2

1

24°

BAC

BAC

 1   2 BAC   2

 1  ACD 96. PLANETS The figures below show the direction of

rotation of several planets in our solar system. They

also show the angle of tilt of each planet.

a. Which planets have an angle of tilt that is an acute

angle?

b. Which planets have an angle of tilt that is an

obtuse angle?

97. a. AVIATION How many degrees from the horizontal
    position are the wings of the airplane?

b. GARDENING What angle does the handle of the

lawn mower make with the ground?

98. SYNTHESIZER Find xand y.

115 °

y

x

150°

Horizontal

63 °

Venus

North

Pole

177.3°

North Earth

Pole

23.5°

North Saturn

Pole

26.7°

Pluto

North

Pole

122.5°

724 Chapter 9 An Introduction to Geometry