Parallel And Perpendicular Lines Worksheet Page 14
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50Find x and y in each figure.
32.
33.
˚
4 x
( 3 x
15 )
˚
˚
56
2
( y
)
˚
˚
˚
68
2 x
( 3 y
11 )
˚
Find m 1 in each figure.
34.
35.
˚
110
1
1
˚
˚
157
37
˚
90
Find x, y, and z in each figure.
36.
37.
( 4 z
2 )
˚
( 7 x
9 )
˚
˚
x
˚
z
( 3 y
11 )
˚
( 7 y
4 )
˚
( y
19 )
˚
( 11 x
1 )
˚
( 2 y
5 )
˚
38.
CARPENTRY
Anthony is building a picnic table for his
patio. He cut one of the legs at an angle of 40°. At what
˚
x
angle should he cut the other end to ensure that the top
˚
40
of the table is parallel to the ground?
p
39.
PROOF
Copy and complete the proof of Theorem 3.3.
1
2
m
Given:
3
4
1
8
Prove:
m
5
6
2
7
7
8
Proof:
Statements
Reasons
m
1.
1.
?
2.
1
5,
2
6
2.
?
3.
5
8,
6
7
3.
?
4.
1
8,
2
7
4.
?
Construction
40.
PROOF
Write a two-column proof of Theorem 3.2.
In 2001, the United States
spent about $30 billion for
41.
Write a paragraph proof of Theorem 3.4.
PROOF
federal highway projects.
Source: U.S. Dept. of
42.
CONSTRUCTION
Parallel drainage
pipe
connector
Transportation
pipe
pipes are laid on each side of Polaris
Street. A pipe under the street
˚
65
˚
?
connects the two pipes. The
connector pipe makes a 65° angle
as shown. What is the measure of the
angle it makes with the pipe on the
other side of the road?
Lesson 3-2 Angles and Parallel Lines 137
Keith Wood/CORBIS
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