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Worksheets

Angles and Angle Relationships

Total questions: 85

Worksheet time: 3hrs 50mins

Name
Class
Date
1.

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

2.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
3.

Supplementary angles always add up to

(a)  

4.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

5.

1) 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

6.

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  

7.

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  

8.

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  

9.

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

10.

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

11.

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  

12.

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


Choose all the options that represent corresponding angles.

a)

5\angle5  and  3\angle3  

b)

3\angle3  and 8\angle8  

c)

2\angle2  and 7\angle7  

d)

6\angle6  and 4\angle4  

13.

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

What is the measure of  5\angle5  ?



(a)  

14.

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)  

15.

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

16.

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

17.

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  

18.

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

19.

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

20.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
21.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
22.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
23.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
24.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
25.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
26.
Solve for x
a)
100
b)
80
c)
40
d)
50
27.

Define Straight

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

28.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
29.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
30.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
31.

What is the name of this ray?

a)

AB\overrightarrow{AB}

b)

BA\overrightarrow{BA}

c)

A\overrightarrow{A}

d)

B\overrightarrow{B}

32.

Identify all the ACUTE angles...

a)

37o

b)

135o

c)

23o

d)

4o

e)

175o

33.

Identify all the OBTUSE angles...

a)

87o

b)

245o

c)

303o

d)

164o

e)

95o

34.

Which pair of angles is NOT an example of vertical angles?

a)

1 and 4\angle1\ and\ \angle4  

b)

6 and 7\angle6\ and\ \angle7  

c)

2 and 5\angle2\ and\ \angle5  

35.

Find m1.m\angle1.  

a)

180°180\degree  

b)

65°65\degree  

c)

115°115\degree  

36.

Find  m2.m\angle2.  

a)

131°131\degree  

b)

180°180\degree  

c)

49°49\degree  

37.

Which angles are adjacent angles?

a)

1 & 4

b)

5 & 6

c)

4 & 6

d)

4 & 5

38.

Which angles are supplementary angles?

a)

1 & 4

b)

5 & 6

c)

4 & 6

d)

4 & 5

39.
What is the relationship between the angles shown?
a)
Vertical Angles (Congruent)
b)
Adjacent Angles 
c)
Complementary Angles (Sum to 90)
d)
Supplementary Angles (Sum to 180)
40.
What is the sum of the measures of ∠1 and ∠3?
a)
90
b)
180
c)
Cannot determine, but they are equal to each other.
d)
Cannot determine.
41.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
42.

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

43.

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

44.

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  

45.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
46.
If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC.
a)
15°
b)
49°
c)
31°
d)
90°
47.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
48.
Solve for x
a)
100
b)
80
c)
40
d)
50
49.

The measures of a set of supplementary angles add up to (a)   °\degree  .

50.

The measures of a set of complementary angles add up to (a)   °\degree  .

51.

Is the relationship of the angle pair show complementary, supplementary, or neither?

a)

complementary

b)

supplementary

c)

neither

52.

Is the relationship of the angle pair show complementary, supplementary, or neither?

a)

complementary

b)

supplementary

c)

neither

53.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
54.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
55.
If ∠COB is 124°, then what is ∠BOD? How are they related?
a)
56°, they are supplementary
b)
90°, they are complementary
c)
124°, they are vertical
56.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
57.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
58.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
59.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
60.

What is the name of this ray?

a)

AB\overrightarrow{AB}

b)

BA\overrightarrow{BA}

c)

A\overrightarrow{A}

d)

B\overrightarrow{B}

61.

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

62.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
63.

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  

64.

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  

65.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

66.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

67.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

68.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

69.

What angle corresponds to 1\angle1 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

70.

What angle corresponds to  1\angle1  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

2\angle2  

71.
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
72.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
73.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
74.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
75.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical 
76.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
77.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
78.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
79.

What is the relationship between angle 7 and angle 1?

a)

Corresponding Angles

b)

Same-Side Interior Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

80.

Which angles are alternate exterior angles?

a)

1,2

b)

3,4

c)

2,7

d)

2,8

81.

Which angles are alternate interior angles?

a)

3,4 & 5,6

b)

4,6 & 1,7

c)

1,7 & 4,6

d)

4,6 & 3,5

82.

What angles are corresponding angles?

a)

2,3 6,7 1,4 5,8

b)

1,5

c)

1,5 & 4,8

d)

1,5, & 4,8 & 2,6

83.

Which angles are consecutive Interior angles?

a)

1,4 & 2,3

b)

5,8 & 6,7

c)

1,3 & 5,7

d)

3,6 & 4,5

84.

Which angles are vertical angles?

a)

1,3 & 2,4

b)

6,5 & 7,8

c)

9,2 & 1,3

d)

1,8 & 2,7

85.

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