Lines & Transversals Worksheet With Answers Page 5
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1
2
3
4
5
6
7
8l m
8 – 10: Given
, find the value(s) of x and each angle. Be sure to check for extraneous solutions.
2
2
2
m
∠ =
3
x
+
112;
m
∠ =
3
x
−
2 ;
x
m
∠ =
1
x
−
7 ;
x
l
m
8)
9)
10)
m
∠ =
8 16
x
+
131
m
∠ =
6 3
x
+
108
m
∠ = − +
7
x
7
5 6
1 2
8 7
4 3
p t
11 – 13: Given
, find the value(s) of each variable and each angle.
p
m
∠ =
1 12
x
−
4
y
m
∠ =
2 8
b a
+
m
∠ =
3 14
s
−
3
t
t
11)
m
∠ = −
8
x
4
y
12)
m
∠ =
5 7
a
+
25
b
13)
m
∠ =
7 9
s
+
12
t
5 6
1 2
8 7
4 3
m
∠ =
5 15
x
+
8
y
m
∠ =
4 3
a
+
5
b
m
∠ =
4 5
s
+
6
t
14) Given that
m
∠ =
4 3
x
+
10
and
m
∠
12 2
=
x
+
30
, find the value of x,
m
∠
4,
m
∠
10.
1 2
4
3
5
6
8
7
15
14
16
13
10
9
11
12
Write a two-column proof.
15) Given:
l m
1
3
l
Prove:
1
and
2
are supplementary
2
m
b
a
l
l m
a b
16) Given:
and
1 2
Prove:
1
≅
12
4
3
5
6
m
8
7
15
14
16
13
10
9
11
12
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