# Parallel And Perpendicular Lines Worksheet Page 13

Concept Check
1. Determine whether
1 is always, sometimes, or never
1
congruent to
2. Explain.
2
4
3
5
2.
OPEN ENDED
Use a straightedge and protractor to
6
8
7
draw a pair of parallel lines cut by a transversal so
that one pair of corresponding angles measures 35°.
Exercise 1
3. Determine the minimum number of angle measures
you would have to know to find the measures of all
of the angles in the figure for Exercise 1.
4. State the postulate or theorem that allows you to
1
3
2
conclude
3
5 in the figure at the right.
Exercise 4
4
5
Guided Practice
In the figure, m 3
110 and m 12
55.
Find the measure of each angle.
5.
1
6.
6
1 2
3
4
5 6
7
7.
2
8.
10
8
9.
13
10.
15
12
11
10
15 16
9
13 14
Find x and y in each figure.
11.
12.
( 25 y
20 )
˚
( 3 y
1 )
( 4 x
5 )
˚
˚
( 8 y
2 )
˚
˚
10 x
( 3 x
11 )
˚
Standardized
13.
SHORT RESPONSE
Find m 1.
36
˚
Test Practice
1
31
˚
Practice and Apply
Practice and Apply
In the figure, m 9
75. Find the measure of each angle.
m
n
14.
3
15.
5
For
See
1
2
Exercises
Examples
16.
6
17.
8
5
4
6
3
9
t
14–31
1, 2
10
18.
11
19.
12
8
7
12
32–37
3
11
Extra Practice
Extra Practice
In the figure, m 3
43. Find the measure of
b
See page 759.
See page 759.
a
c
each angle.
2
4
1
3
8
7
6
5
20.
2
21.
7
d
9
10
11
12
22.
10
23.
11
16
15
14
13
24.
13
25.
16
In the figure, m 1
50 and m 3
60. Find the
7
measure of each angle.
2
p
6
4
5
8
26.
4
27.
5
q
28.
2
29.
6
3
1
j
30.
7
31.
8
k
m
n
136 Chapter 3 Parallel and Perpendicular Lines