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Worksheets

Angle Relationships

Total questions: 85

Worksheet time: 14hrs 10mins

Name
Class
Date
1.

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

2.

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

3.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
4.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
5.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
6.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
7.

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

8.

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

9.

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

10.

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  

11.

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  

12.

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  

13.

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

14.

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

15.

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

16.

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

17.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
18.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
19.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
20.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
21.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
22.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
23.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
24.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
25.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
26.
What is the value of "x"?
a)
19
b)
20
c)
21
d)
22
27.

Identify the angle relationship.

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Same Side Interior Angles

d)

Corresponding Angles

28.

Check all the angles that are supplementary to  6\angle6  

a)

1\angle1  

b)

2\angle2  

c)

3\angle3  

d)

4\angle4  

e)

5\angle5  

29.

Given the following two parallel lines cut by a transversal.


Which pair of angles represents corresponding angles?

a)

1\angle1  and  6\angle6  

b)

6\angle6  and 5\angle5  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

30.

Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

31.

Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate interior angles?

a)

3\angle3  and 8\angle8  

b)

7\angle7  and 2\angle2  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

32.

Which of the following statements about the relationship between angle 4 and 3 is NOT TRUE

a)

They are supplementary

b)

They are on the same side of the transversal

c)

They are between the parallel lines

d)

They are same-side exterior angles

e)

None, all of these statements are true

33.

Which angle is same side exterior to  1\angle1  ?

a)

8\angle8  

b)

2\angle2  

c)

3\angle3  

d)

4\angle4  

34.

Angle 1 is supplementary to which of the following angles

a)

3\angle3  

b)

5\angle5  

c)

6\angle6  

d)

2\angle2  

e)

None of the angles are supplemetary to Angle 1

35.

Which angle corresponds to angle 8?

a)

1\angle1  

b)

7\angle7  

c)

6\angle6  

d)

2\angle2  

e)

None of these correspond to angle 8

36.

Which of the following statements about angle 4 is NOT TRUE 

a)

It corresponds with angle 2

b)

It is on the same side of the transversal as angle 3

c)

It is supplementary to angle 7

d)

It has the same  measure as angle 8

e)

None of these statements are false

37.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
38.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
39.
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
40.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
41.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
42.

What is the angle relationship?

a)

vertical

b)

supplementary

c)

complementary

43.

What is the angle relationship?

a)

vertical

b)

complementary

c)

supplementary

d)

adjacent

44.

What is the angle relationship?

a)

complementary

b)

supplementary

c)

vertical

45.

What is the angle relationship?

a)

vertical

b)

complementary

c)

supplementary

46.

What is the angle relationship?

a)

vertical

b)

complementary

c)

supplementary

d)

adjacent

47.

If the measure of <4 is 80 degrees, what is the measure of <2?

a)

10 degrees

b)

100 degrees

c)

80 degrees

d)

Can't be determined

48.

If the measure of <1 is 95 degrees, what is the measure of <3?

a)

85 degrees

b)

95 degrees

c)

90 degrees

d)

180 degrees

49.

If the measure of <1 is 3x and the measure of <3 is 6, what is x?

a)

x = 3x

b)

x = 6

c)

x = 3

d)

x = 2

50.

If the measure of <AOC is 50 degrees, what is the measure of <COB?

a)

50

b)

40

c)

130

d)

90

51.

The angles are supplementary. What is the measure of x?

a)

180

b)

72

c)

62

d)

52

52.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
53.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
54.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
55.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
56.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
57.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
58.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
59.
Solve for x
a)
6
b)
140
c)
20
d)
90
60.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
61.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
62.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
63.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
64.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
65.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
66.

Supplementary angles always add up to

(a)  

67.

1\angle1  and 2\angle2  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

68.

2) Given the following two parallel lines cut by a transversal.


Which pair of angles represents corresponding angles?

a)

1\angle1  and  6\angle6  

b)

6\angle6  and 5\angle5  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

69.

3) Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate interior angles?

a)

3\angle3  and 8\angle8  

b)

7\angle7  and 2\angle2  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

70.

4) Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate exterior angles?

a)

4\angle4  and 8\angle8  

b)

7\angle7  and 5\angle5  

c)

1\angle1  and  2\angle2  

d)

6\angle6  and  5\angle5  

71.

5) True or False.

If the following parallel lines are cut by a transversal, would 
2\angle2  and  6\angle6   be corresponding?

a)

True

b)

False

72.

7) Given the following two parallel lines that have been cut by a transversal.


True or False, 6\angle6  and 4\angle4  are vertical angles?

a)

True

b)

False

73.

8) Given the following two parallel lines that have been cut by a transversal.


1\angle1  and which angle make up Alternate Interior angles?

a)

2\angle2  

b)

6\angle6  

c)

5\angle5  

d)

3\angle3  

74.

10)Given the two parallel lines cute by a transversal,

What is the measure of  5\angle5  ?



(a)  

75.

11) Given the two parallel lines cut by a transversal,

What is the measure of 4\angle4  if  m8=76°m\angle8=76\degree  ?



(a)  

76.

What angle corresponds to  3\angle3  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

77.

What angle corresponds to  7\angle7  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

78.

What angle corresponds to  6\angle6  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

79.

What angle corresponds to  1\angle1  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

2\angle2  

80.

What angle corresponds to 1\angle1 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

81.

What angle corresponds to 4\angle4 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

82.

What angle corresponds to 5\angle5 ?

a)

7\angle7

b)

5\angle5

c)

3\angle3

d)

2\angle2

83.

What angle corresponds to 6\angle6 ?

a)

7\angle7

b)

8\angle8

c)

3\angle3

d)

2\angle2

84.

What angle is vertical to 1\angle1 ?

a)

7\angle7

b)

4\angle4

c)

6\angle6

d)

2\angle2

85.

What angle is vertical to 5\angle5 ?

a)

3\angle3

b)

1\angle1

c)

6\angle6

d)

2\angle2