49
Chapter 2
38. Given:
/
ABD
>
/
YXZ
Prove:
/
CBD
>
/
WXZ
Proof:
39. Given:
m
/
RSW
5
m
/
TSU
Prove:
m
/
RST
5
m
/
WSU
Proof:
40.
m
/
1
1
m
/
2
5
¬
180
28
1
m
/
2
5
¬
180
m
/
2
5
¬
152
41.
Because the lines are perpendicular, the angles
formed are right angles. All right angles are
congruent. Therefore,
/
1 is congruent to
/
2.
42.
m
/
1
1
m
/
4
5
¬
90;
m
/
1
1
m
/
2
1
m
/
3
1
m
/
4
5
¬
180
m
/
1
1
m
/
1
1
m
/
4
1
m
/
4
5
¬
180
2(
m
/
1)
1
2(
m
/
4)
5
¬
180
2(
m
/
1
1
m
/
4)
5
¬
180
m
/
1
1
m
/
4
5
¬
90
43.
Two angles that are supplementary to the same
angle are congruent. Answers should include the
following.
•
/
1 and
/
2 are supplementary;
/
2 and
/
3 are
supplementary.
•
/
1 and
/
3 are vertical angles, and are
therefore congruent.
• If two angles are complementary to the same
angle, then the angles are congruent.
44.
B; Let
x
be the measure of one angle. Then the
measure of the other angle is 90
2
x
.
}
90
x
2
x
} 5
¬
}
4
1
}
x
5
¬
4(90
2
x
)
x
5
¬
360
2
4
x
5
x
5
¬
360
x
5
¬
72
The other angle has mesure 90
2
72 or 18.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

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