Geometry
Name___________________________________
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Parallels Cut by a Transversal (Algebra Style)
Hour____
Find the measure of each angle indicated. State the justification for how you found the angle.
(i.e. alt. ext. angles are congruent)
1)
2)
49°
?
?
86°
3)
4)
65°
?
?
63°
Solve for x. Justify the set up.
5)
6)
x + 70
14 x - 4
60°
80°
7)
8)
120°
14 x - 3
85°
x + 130
9)
10)
15 x
118°
x + 70
75°
Worksheet by Kuta Software LLC
-1-
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11)
12)
x + 61
9x + 4
85°
51°
Find the measure of the angle indicated in bold. Justify the set up.
13)
14)
28 x - 2
12 x
23 x + 5
26 x + 6
15)
16)
27 x - 1
25 x + 5
18 x
17 x + 5
17)
18)
9x - 4
7x + 8
18 x + 4
17 x + 11
Solve for x. Justify the set up.
19)
20)
34 x - 1
17 x + 5
45°
Worksheet by Kuta Software LLC
-2-
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Geometry
Name___________________________________
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Parallels Cut by a Transversal (Algebra Style)
Hour____
Find the measure of each angle indicated. State the justification for how you found the angle.
(i.e. alt. ext. angles are congruent)
1)
2)
49°
?
?
86°
49°
86°
3)
4)
65°
?
?
63°
117°
65°
Solve for x. Justify the set up.
5)
6)
x + 70
14 x - 4
60°
80°
-10
6
7)
8)
120°
14 x - 3
85°
x + 130
-10
7
9)
10)
15 x
118°
x + 70
75°
-8
5
Worksheet by Kuta Software LLC
-1-
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11)
12)
x + 61
9x + 4
85°
51°
-10
9
Find the measure of the angle indicated in bold. Justify the set up.
13)
14)
28 x - 2
12 x
23 x + 5
26 x + 6
60°
110°
15)
16)
27 x - 1
25 x + 5
18 x
17 x + 5
90°
80°
17)
18)
9x - 4
7x + 8
18 x + 4
17 x + 11
50°
130°
Solve for x. Justify the set up.
19)
20)
34 x - 1
17 x + 5
45°
4
5
Worksheet by Kuta Software LLC
-2-
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