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Worksheets

angels

Total questions: 85

Worksheet time: 4hrs 42mins

Name
Class
Date
1.
Find the value of ∠A.
a)
79 degrees
b)
87 degrees
c)
90 degrees
d)
97 degrees
2.
Find the value of ∠A.
a)
79 degrees
b)
87 degrees
c)
90 degrees
d)
97 degrees
3.
If ray OR is the angle bisector of ∠POQ, and m∠POR = 38°, what is the m∠POQ?
a)
19°
b)
38°
c)
62°
d)
76°
4.
If < ABC= 103⁰, find m< ABD
a)
45
b)
13
c)
57
d)
46
5.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
6.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
7.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
8.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
9.
a)
m∠GHK=26, m∠KHJ=26
b)
m∠GHK=26, m∠KHJ=52
c)
m∠GHK=52, m∠KHJ=52
d)
m∠GHK=52, m∠KHJ=26
10.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
11.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
12.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

13.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
14.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
15.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side-Interior

16.

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  

17.

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  

18.


1\angle1  and which angle make up same side interior angles?

a)

2\angle2  

b)

6\angle6  

c)

5\angle5  

d)

3\angle3  

19.

What angle is same side exterior with 3\angle3  ?

a)

1\angle1  

b)

6\angle6  

c)

7\angle7  

d)

4\angle4

20.

Which angle pairs are always supplementary?

a)

Linear Pair, Same Side Interior, Same Side Exterior

b)

Vertical, Alternate Interior, Alternate Exterior, Corresponding

21.

Which angle pairs are always congruent?

a)

Linear Pair, Same Side Interior, Same Side Exterior

b)

Vertical, Alternate Interior, Alternate Exterior, Corresponding

22.

Find the measure of angle 1.

a)

56

b)

52

c)

120

d)

124

23.

Find the measure of angle 1

a)

129

b)

51

c)

31

d)

120

24.

Find the measure of angle 1

a)

139

b)

149

c)

31

d)

41

25.

Find the measure of angle 1

a)

50

b)

60

c)

70

d)

80

26.

Find the value of each variable

a)

x = 90; y = 90; z = 58

b)

x = 90; y = 58; z = 90

c)

x = 58; y = 90; z = 90

d)

x = 90; y = 90; z = 90

27.

Which angle is the exterior angle?

a)

angle 1

b)

angle 2

c)

angle 3

d)

angle 4

28.

Which TWO angles are the remote interior angles?

a)

angle 1 & angle 2

b)

angle 1 & angle 3

c)

angle 2 & angle 3

d)

angle 3 & angle 4

29.

Find the measure of the exterior angle.

a)

65

b)

90

c)

115

d)

35

30.

Find the measure of the exterior angle.

a)

90

b)

143

c)

37

d)

180

31.

Find the measure of the exterior angle.

a)

127

b)

73

c)

63

d)

117

32.
What is the formula for the sum of exterior angles in a polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
33.
What is the formula for a particular exterior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
34.
What is the sum of exterior angles for a 27-gon?
a)
4860
b)
4500
c)
360
d)
270
35.
What is the measure of a single exterior angle for a regular pentagon?
a)
360
b)
108
c)
72
d)
36
36.
If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?
a)
10
b)
3
c)
7
d)
11
37.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
38.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

39.

Solve for b.

a)

90°

b)

180°

c)

110°

d)

70°

40.

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

a)

50°

b)

55°

c)

72°

d)

355°

41.

What is the measure of EACH EXTERIOR angle of a regular 67-gon?

a)

5.4

b)

11700

c)

3.2

d)

113

42.

Find the value of x. 

(a)  

43.

Find y.

(a)  

44.

Find the value of r.

a)

63

b)

137

c)

83

d)

117

45.

Find the value of e

a)

12

b)

168

c)

32

d)

148

46.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
47.
Solve for x
a)
6
b)
140
c)
20
d)
90
48.

What angle corresponds to  3\angle3  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

49.

What angle corresponds to  7\angle7  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

50.

What angle corresponds to  6\angle6  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

7\angle7  

51.

What angle corresponds to  1\angle1  ?

a)

4\angle4  

b)

5\angle5  

c)

8\angle8  

d)

2\angle2  

52.

What angle corresponds to 1\angle1 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

53.

What angle corresponds to 4\angle4 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

54.

What angle corresponds to 5\angle5 ?

a)

7\angle7

b)

5\angle5

c)

3\angle3

d)

2\angle2

55.

What angle corresponds to 6\angle6 ?

a)

7\angle7

b)

8\angle8

c)

3\angle3

d)

2\angle2

56.

What angle is vertical to 1\angle1 ?

a)

7\angle7

b)

4\angle4

c)

6\angle6

d)

2\angle2

57.

What angle is vertical to 5\angle5 ?

a)

3\angle3

b)

1\angle1

c)

6\angle6

d)

2\angle2

58.


3 and 6 are examples of which type of angle pair?\angle3\ and\ \angle6\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

59.


1 and5 are examples of which type of angle pair?\angle1\ and\angle5\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

60.


6 and7 are examples of which type of angle pair?\angle6\ and\angle7\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

61.
What does this image show?
a)
parallel lines
b)
perpendicular lines
c)
intersecting lines
d)
line segments
62.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
63.
Parallel lines ...
a)
will never intersect
b)
intersect to form right angles
c)
are curved lines
64.
What is a transversal?
a)
A line that intersects two or more lines
b)
The angles opposite of each other when two lines cross
c)
Two angles whose sum measures 180 degrees
d)
Lines that intersect to form a 90 degree angle
65.

Which of the angle pairs below is a pair of corresponding angles?  

a)

7\angle7  and  5\angle5  

b)

2 \angle2\  and  6\angle6  

c)

2 \angle2\  and  8\angle8  

d)

1 \angle1\  and  5\angle5  

66.

If angle 1 has a measure of 135o, then m∠2 =

a)

90o

b)

135o

c)

45o

d)

65o

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.

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  

69.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
70.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

x2 + (y -7)2 = 9

c)

(x - 7)2 + y2 = 3

d)

x2 + (y -7)2 = 3

71.

a)

22.5

b)

45

c)

60

d)

67.5

72.

a)

72

b)

45

c)

60

d)

36

73.

a)

35

b)

55

c)

65

d)

115

74.

a)

20

b)

30

c)

40

d)

90

75.

a)

130

b)

50

c)

40

d)

150

76.

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

77.

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  

78.

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  

79.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
80.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
81.

Angles 4 and 6 are...

a)

supplementary (add to 180)

b)

congruent (equal)

82.

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

83.

Find the value of b.

a)

147 degrees

b)

57 degrees

c)

50 degrees

d)

40 degrees

84.

If m∠6 = 50o then m∠3 =

a)

50o

b)

90o

c)

130o

d)

360o

85.

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