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2-1 & 2-2: Angles Formed by Parallel Lines and Transversals

Total questions: 126

Worksheet time: 4hrs 12mins

Name
Class
Date
1.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
2.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
3.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
4.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
5.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
6.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
7.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
8.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
9.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
10.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

11.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
12.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
13.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
14.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
15.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
16.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
17.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
18.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
19.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
20.
What is the value of y?
a)
29
b)
119
c)
58
21.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
22.
Find the value of x. 
a)
x = 133
b)
x = 47
23.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
24.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
25.
What is the value of x?
a)
13
b)
6.2
c)
29.8
26.
What is the value of y?
a)
29
b)
119
c)
58
27.
Find y.
a)
50
b)
130
28.
Find x.
a)
130
b)
50
29.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
30.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
31.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
32.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
33.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
34.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
35.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
36.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
37.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
38.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
39.
What are the values of the two angles? 
a)
18° and 152°
b)
30° and 150°
c)
42° and 138°
d)
45° and 135°
40.
What is the value of x?
a)
22°
b)
10°
c)
d)
41.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
42.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
43.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
44.
Find the value of x.
a)
20
b)
135
c)
31
d)
145
45.
What is the value of x?
a)
70
b)
28
c)
140
d)
40
46.
What is the value of y? 
a)
20
b)
40
c)
28
d)
140
47.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
48.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
49.
What is the value of x?
a)
13
b)
6.2
c)
29.8
50.
Angle Q and B are...
a)
Supplementary
b)
Congruent
51.
Angle R and C are...
a)
Supplementary
b)
Congruent
52.
Angle S and B are...
a)
Supplementary
b)
Congruent
53.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
54.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
55.
Angle A and C are...
a)
Supplementary
b)
Congruent
56.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
57.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
58.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
59.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
60.
Solve for x
a)
6
b)
140
c)
20
d)
90
61.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
62.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
63.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
64.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
65.

What is the Angle Relationship

a)

Complementary Angles

b)

Supplementary Angles

c)

Corresponding

66.

What is the Angle Relationship?

a)

Adjacent

b)

Corresponding

c)

Vertical

67.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

68.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

69.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

70.

Which of the following angles would NOT be congruent to the measure of 7\angle7 ?

a)

2\angle2  

b)

3\angle3  

c)

6\angle6  

d)

8\angle8  

71.

Which of the following is an example of corresponding angles?

a)

8 and 4\angle8\ and\ \angle4  

b)

5 and 7\angle5\ and\ \angle7  

c)

1 and 7\angle1\ and\ \angle7  

d)

3 and 5\angle3\ and\ \angle5  

72.

Which of the following is NOT an example of supplementary angles?

a)

7 and 8\angle7\ and\ \angle8  

b)

2 and 3\angle2\ and\ \angle3  

c)

1 and 7\angle1\ and\ \angle7  

d)

6 and 4\angle6\ and\ \angle4  

73.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

115°115\degree  

b)

65°65\degree  

c)

180°180\degree  

d)

Cannot be determined

74.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

123°123\degree  

b)

57°57\degree  

c)

180°180\degree  

d)

Cannot be determined

75.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot be determined

76.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

77.

Find the value of x if the  m1 = 12x+19°m\angle1\ =\ 12x+19\degree and the  m2 = 22x9°m\angle2\ =\ 22x-9\degree .

a)

-2.8

b)

2.8

c)

-5

d)

5

78.

Find the value of x if the  m3 = 4x+5°m\angle3\ =\ -4x+5\degree and the  m5 = 13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

79.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
80.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
81.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
82.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
83.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
84.
Solve for x.
a)
8
b)
11
c)
5
d)
-5
85.
Solve for x.
a)
4
b)
9
c)
10
d)
-7
86.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
87.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
88.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
89.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
90.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
91.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
92.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
93.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
94.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
95.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
96.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
97.
Identify the correct statement.
a)
∠1 & ∠2
are corresponding angles
b)
∠2 & ∠4
are corresponding angles
c)
∠5 & ∠8
are corresponding angles
d)
∠1 & ∠5
are corresponding angles
98.
Identify the correct statement.
a)
∠1 & ∠8
are alternate interior angles
b)
∠2 & ∠3
are alternate interior angles
c)
∠4 & ∠5
are alternate interior angles
d)
∠7 & ∠4
are alternate interior angles
99.
Identify the correct statement.
a)
∠1 & ∠8
are supplementary angles
b)
∠2 & ∠3
are supplementary angles
c)
∠4 & ∠5
are supplementary angles
d)
∠7 & ∠8 
are supplementary angles
100.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
101.
Identify the correct statement.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
102.
Identify the correct statement.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
103.
Identify the correct statement.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
104.
Identify the correct statement.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
105.
Two lines going the exact same way and will never intersect
a)
Alternate exterior angles
b)
Parallel lines
c)
Alternate interior angles
d)
Vertical lines
106.
Identify the correct statement.
a)
∠1 & ∠2
are vertical angles
b)
∠2 & ∠4
are vertical angles
c)
∠5 & ∠8
are vertical angles
d)
∠1 & ∠5
are vertical angles
107.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
108.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
109.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
110.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
111.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
112.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
113.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
114.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
115.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
116.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
7.6666...
117.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
118.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
119.
Name a segment that would be skew to segment BC.
a)
Segment FE
b)
Segment DB
c)
Segment AE
d)
Segment EC
120.
What is the value of y?
a)
29
b)
119
c)
58
121.
What is the relationship for ∠9 and ∠16?
a)
corresponding
b)
vertical
c)
alternate exterior
d)
alternate interior
122.
What is the relationship for ∠6 and ∠14?
a)
corresponding
b)
same-side interior
c)
alternate exterior
d)
alternate interior
123.
What is the relationship for ∠7 and ∠11?
a)
corresponding
b)
same-side interior
c)
alternate exterior
d)
alternate interior
124.
If ∠8 is 115 degrees, then what is the measure of ∠15?
a)
115 degrees
b)
55 degrees
c)
65 degrees
d)
75 degrees
125.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
126.
Name the same-side interior angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5