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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
Proving Lines Parallel
Find the measure of the indicated angle that makes lines u and v parallel.
1)
u
v
?
130°
2)
u
v
128°
?
3)
u
v
?
66°
4)
u
v
80°
?
5)
u
v
?
6)
u
v
?
81°
7)
u
v
?
53°
8)
u
v
?
58°
-1-
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Worksheet by Kuta Software LLC
9)
u
v
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?
10)
u
v
?
117°
Find the value of
x
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11)
u
v
16
x
− 6
12)
u
v
12
x
− 4
10
x
+ 10
13)
u
v
105°
x
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14)
u
v
19
x
− 4
110°
15)
u
v
130°
11
x
− 2
16)
u
v
7
x
+ 14
8
x
+ 6
Critical thinking questions:
17) For question #16, find a value of
x
that
makes lines u and v intersect.
18) Even if the lines in question #16 were not
parallel, could
x
= 25? Why or why not?
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
Proving Lines Parallel
Find the measure of the indicated angle that makes lines u and v parallel.
1)
u
v
?
130°
130°
2)
u
v
128°
?
128°
3)
u
v
?
66°
66°
4)
u
v
80°
?
100°
5)
u
v
?
90°
6)
u
v
?
81°
81°
7)
u
v
?
53°
53°
8)
u
v
?
58°
58°
-1-
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Worksheet by Kuta Software LLC
9)
u
v
130°
?
50° 10)
u
v
?
117°
63°
Find the value of
x
that makes lines u and v parallel.
11)
u
v
16
x
− 6
6 12)
u
v
12
x
− 4
10
x
+ 10
7
13)
u
v
105°
x
+ 112
−7 14)
u
v
19
x
− 4
110°
6
15)
u
v
130°
11
x
− 2
12 16)
u
v
7
x
+ 14
8
x
+ 6
8
Critical thinking questions:
17) For question #16, find a value of
x
that
makes lines u and v intersect.
Any value other than 8. Ideally 0 ≤
x
≤ 10
18) Even if the lines in question #16 were not
parallel, could
x
= 25? Why or why not?
No, that would make the angles 189° and 206°.
-2-
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