Lines & Transversals Worksheet With Answers Page 4

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Parallel Lines With Algebra
Remember – drawings are not necessarily drawn accurately!
1 – 3: Find the value of x in each question given that lines l and m are parallel. Check your answers by finding
the measure of each angle.
∠ =
3
10;
m C
x
1)
m F
∠ = +
x
70
A
B
l
C
D
m D
∠ = +
x
27;
2)
m F
∠ =
2
x
39
E
F
m
G
H
m B
∠ =
2(
x
+
40);
3)
m G
∠ =
5
x
+
44
4 – 6: Find the value of x in each question given that lines l and m are parallel. Check your answers by finding
the measure of each angle.
m
∠ =
3 2
x
+
16;
4)
m
∠ =
5 7
x
4
m
2
3
1
m
∠ =
4 8
x
80;
4
6 7
5)
5
m
∠ = −
5
2
x
+
116
8
m
∠ =
2 3
x
+
19;
6)
m
∠ =
6 2(
x
+
10)
m∠ =
1 143
°
7) Given l || m || n and s || t , and
, find
m
2
=
______
m
11
=
______
m
20
=
______
1
2
3
4
l
m
3
=
______
m
12
=
______
m
21
=
______
5
8
7
6
m
4
=
m
13
=
m
22
=
______
______
______
9
10
11
12
m
16
15
14
13
m
5
=
m
14
=
m
23
=
______
______
______
17
18
19
20
m
6
=
m
15
=
m
24
=
______
______
______
n
24
23
22
21
m
7
=
______
m
16
=
______
t
s
m
8
=
______
m
17
=
______
m
9
=
______
m
18
=
______
m
10
=
m
19
=
______
______

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