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Worksheets

Angles

Total questions: 124

Worksheet time: 5hrs 10mins

Name
Class
Date
1.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

2.

Which angle is complementary to  LJM\angle LJM  

a)

 MJN\angle MJN  

b)

 NJP\angle NJP  

c)

 FGE\angle FGE  

d)

 LJK\angle LJK  

3.

Which of the following angles is  90°90\degree  ?

a)

 FGH\angle FGH  

b)

 KJL\angle KJL  

c)

 PJK\angle PJK  

d)

 EGH\angle EGH  

4.

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

5.

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

6.

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

7.

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  

8.

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  

9.

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  

10.

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

11.

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

12.

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

13.

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

14.

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

15.

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

16.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
17.

Find the value of x and y.

a)

x = 20 and y = 94

b)

x = 67 and y = 40

c)

x =117 and y = 63

18.
Find the missing angle.
a)
60°
b)
70°
c)
50°
d)
140
19.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
20.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
21.

What it the measurement for angle 1?

a)

140o

b)

180o

c)

40o

d)

160o

22.
a)

a.30

b)

b.60

c)

c.90

d)

d.120

23.
a)

The other angles are all 124°124\degree

b)

The other angles are a mix of 124° and 56°124\degree\ and\ 56\degree

c)

The other angles are a mix of 56°, 124°, and 180°56\degree,\ 124\degree,\ and\ 180\degree

d)

It is impossible to tell because they can be any number.

24.
a)

2 = 54°, 3 = 126°, 4 = 126°\angle2\ =\ 54\degree,\ \angle3\ =\ 126\degree,\ \angle4\ =\ 126\degree

b)

2 = 126°, 3 = 126°, 4 = 54°\angle2\ =\ 126\degree,\ \angle3\ =\ 126\degree,\ \angle4\ =\ 54\degree

c)

2 = 126°, 3 = 54°, 4 = 126°\angle2\ =\ 126\degree,\ \angle3\ =\ 54\degree,\ \angle4\ =\ 126\degree

d)

2 = 126°, 3 = 54°, 4 = 54°\angle2\ =\ 126\degree,\ \angle3\ =\ 54\degree,\ \angle4\ =\ 54\degree

25.

When 2 parallel lines are cut by a transversal, which angle pairs produce congruent angles? Select all that apply

a)

Alternate Interior and Alternate Exterior

b)

Same Side Interior and Same Side Exterior

c)

Corresponding

d)

Adjacent/Supplementary

e)

Vertical

26.

When 2 parallel lines are cut by a transversal, which angle pairs produce supplementary angles? Select all that apply

a)

Alternate Interior and Alternate Exterior

b)

Same Side Interior and Same Side Exterior

c)

Corresponding

d)

Adjacent/Supplementary

e)

Vertical

27.

 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

28.

Classify angles 6 and 8

a)

corresponding angles

b)

alternate exterior algles

c)

vertical angles

d)

alternate interior angles

e)

supplementary angles

29.
a)

a. 1 and 2\angle1\ and\ \angle2

b)

b. 3 and 4\angle3\ and\ \angle4

c)

c. 4 and 7\angle4\ and\ \angle7

d)

d. 6 and 2\angle6\ and\ \angle2

e)

e. 8 and 5\angle8\ and\ \angle5

30.

Select 4 of the choices.

a)

a

b)

b

c)

c

d)

d

e)

e

31.

What angle corresponds to  6\angle6  ?

a)

 4\angle4  

b)

 5\angle5  

c)

 8\angle8  

d)

 7\angle7  

32.

What angle corresponds to  7\angle7  ?

a)

 4\angle4  

b)

 5\angle5  

c)

 8\angle8  

d)

 7\angle7  

33.

What angle corresponds to 1\angle1 ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

34.

What angle corresponds to  1\angle1  ?

a)

 4\angle4  

b)

 5\angle5  

c)

 8\angle8  

d)

 2\angle2  

35.

What angle corresponds to  4\angle4  ?

a)

4\angle4

b)

5\angle5

c)

3\angle3

d)

2\angle2

36.

What angle corresponds to  6\angle6  ?

a)

 7\angle7 

b)

 8\angle8 

c)

3\angle3

d)

2\angle2

37.

What angle is vertical to  5\angle5  ?

a)

 3\angle3 

b)

 1\angle1 

c)

 6\angle6 

d)

2\angle2

38.

Practice 1a: Name a pair of complementary angles

a)

1 and 2\angle1\ and\ \angle2

b)

3 and 2\angle3\ and\ \angle2

c)

4 and 5\angle4\ and\ \angle5

d)

3 and 5\angle3\ and\ \angle5

39.

Practice 1b: Name a pair of vertical angles

a)

 2  and 4\angle2\ \ and\ \angle4 

b)

 3  and 2\angle3\ \ and\ \angle2 

c)

 1 and 4\angle1\ and\ \angle4 

d)

 3  and 5\angle3\ \ and\ \angle5 

40.

Practice 1c: Name a pair of linear pair angles

a)

 1  and 4\angle1\ \ and\ \angle4 

b)

 3  and 2\angle3\ \ and\ \angle2 

c)

 4  and 5\angle4\ \ and\ \angle5 

d)

 3  and 5\angle3\ \ and\ \angle5 

41.

Practice 2: What is the supplement of 74.3 degrees?

a)

105.7°105.7\degree

b)

180°180\degree

c)

148.6°148.6\degree

d)

15.7°15.7\degree

42.

Practice 4a: What is the sum of  m5+m6+m7+m8=m\angle5+m\angle6+m\angle7+m\angle8=  

a)

 90°90\degree  

b)

 180°180\degree  

c)

 360°360\degree  

d)

 45°45\degree  

43.

Practice 4c: If the m9= 48°m\angle9=\ 48\degree  , what is the  m10?m\angle10?  

a)

 48°48\degree  

b)

 96°96\degree  

c)

 132°132\degree  

d)

 32°32\degree  

44.

Practice 4c: If the m3= 140°m\angle3=\ 140\degree  , what is the  m2+m4?m\angle2+m\angle4?  

a)

 40°40\degree  

b)

 80°80\degree  

c)

 120°120\degree  

d)

 220°220\degree  

45.

Practice 5a: Linear pair angles are adjacent

a)

sometimes

b)

always

c)

never

46.

What relationship exists between angles 1 and 5

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

47.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
48.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
49.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
50.
An angle whose measure is exactly 90 degrees.
a)
acute
b)
vertical
c)
right
d)
straight
51.
Solve for x.
a)
16
b)
11
c)
50
d)
6
52.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
53.

Which pair of angles is an example of corresponding angles?

a)

 1 and 8\angle1\ and\ \angle8  

b)

 3 and 7\angle3\ and\ \angle7  

c)

 4 and 5\angle4\ and\ \angle5  

d)

 2 and 5\angle2\ and\ \angle5  

54.

Which pair of angles is an example of alternate interior angles?

a)

 1 and 8\angle1\ and\ \angle8  

b)

 3 and 7\angle3\ and\ \angle7  

c)

 4 and 5\angle4\ and\ \angle5  

d)

 2 and 5\angle2\ and\ \angle5  

55.

Which pair of angles is an example of alternate exterior angles?

a)

 1 and 8\angle1\ and\ \angle8  

b)

 3 and 7\angle3\ and\ \angle7  

c)

 4 and 5\angle4\ and\ \angle5  

d)

 2 and 5\angle2\ and\ \angle5  

56.

Find m2.m\angle2.  

a)

 65°65\degree  

b)

 180°180\degree  

c)

 115°115\degree  

57.

Find m1.m\angle1.  

a)

 180°180\degree  

b)

 65°65\degree  

c)

 115°115\degree  

58.

Find  m1.m\angle1.  

a)

 131°131\degree  

b)

 180°180\degree  

c)

 49°49\degree  

59.

Find  m2.m\angle2.  

a)

 131°131\degree  

b)

 180°180\degree  

c)

 49°49\degree  

60.

Which statement is NOT true?

a)

Parallel lines have the same slope.

b)

Parallel lines intersect at one point.

c)

Perpendicular lines form a right angle.

61.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example  51\angle5\cong\angle1  .  Check any box with Corresponding Angles.

a)

 1 and 2\angle1\ and\ \angle2  

b)

 2 and 6\angle2\ and\ \angle6  

c)

 4 and 8\angle4\ and\ \angle8  

d)

 3 and 7\angle3\ and\ \angle7  

62.

If  5 and 4\angle5\ and\ \angle4  are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

 3 and 2\angle3\ and\ \angle2  

b)

 6 and 8\angle6\ and\ \angle8  

c)

 3 and 6\angle3\ and\ \angle6  

d)

 1 and 9\angle1\ and\ \angle9  

63.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
64.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
65.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
66.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
67.
What is the sum of the angles inside a triangle?
a)
90
b)
180
c)
360
68.
Solve for x.
a)
-11
b)
9
c)
-9
d)
10
69.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
70.
Two angles that add up to 180 degrees are called _____________ ______.
a)
right angles
b)
corresponding angles
c)
complementary angles
d)
supplementary angles
71.
What kind of angles are these?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
72.

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

a)

2 pairs of vertical angles

b)

3 pairs of vertical angles

c)

4 pairs of vertical angles

d)

8 pairs of vertical angles

73.

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

a)

2 Linear Pairs

b)

4 Linear Pairs

c)

6 Linear Pairs

d)

8 Linear Pairs

74.

Suppose we assume that  51\angle5\cong\angle1 .  What is true about  1 and 4\angle1\ and\ \angle4  ?

a)

 1 and 4\angle1\ and\ \angle4  form a linear pair, so are supplementary

b)

 1 and 4\angle1\ and\ \angle4  are adjacent angles which share a side

c)

 1 4\angle1\cong\ \angle4  because they are vertical angles

d)

 1 and 4\angle1\ and\ \angle4  are right angles

75.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

76.

Which angle is a linear pair with 1\angle1  ?

a)

 2\angle2  

b)

 3\angle3  

c)

 4\angle4  

d)

 5\angle5  

e)

 6\angle6  

77.

What is the midpoint of the straight line segment joining the points (-2, 5) and (6, -1)?

a)

(2,2)\left(2,2\right)

b)

(2,3)\left(2,3\right)

c)

(4,2)\left(-4,2\right)

d)

(4,3)\left(-4,3\right)

78.

What is the midpoint of the straight line segment joining the points (3, -6) and (-4, -3)?

a)

(3.5, 4.5)\left(3.5,\ -4.5\right)

b)

(3.5, 1.5)\left(3.5,\ -1.5\right)

c)

(0.5, 1.5)\left(-0.5,\ -1.5\right)

d)

(0.5, 4.5)\left(-0.5,\ -4.5\right)

79.

What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)

a)

(-4, 5)

b)

(-8, 5)

c)

( 8, 2.5)

d)

(8, 5)

80.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
81.

Find the midpoint of segment AB.

a)

(2, -4)

b)

(-1, 1)

c)

(-6, 4)

d)

(-2, 0)

82.
What is the midpoint between (8, -3) and (2, 5)
a)
(5, 1)
b)
(10, 2)
c)
(-5, -1)
d)
(3, 4)
83.

If point A is at (-2, 9) and point B is located at (6,-3), then find the coordinate for the mid-point of segment AB.

a)

(4, 6)

b)

(4, -6)

c)

(2, 3)

d)

(2, 0)

84.

Point M is the midpoint of segment JK. The coordinate for point M is (1,1) and point K is (8,3). Find the coordinate for point J.

a)

J (6, -1)

b)

J (-6, -1)

c)

J (-6, 1)

d)

J (6, 1)

85.

The following coordinates are for segment AB. A (-13, 7) and B(4, 5). Find the coordinate for the midpoint of segment AB.

a)

(-4.5, 1)

b)

(-9, 1)

c)

(-4.5, 6)

d)

(-9, 2)

86.

The midpoint and an endpoint are given. Find the other endpoint.

Endpoint: (-2, -4)

Midpoint: (3, -3)

a)

(8, 2)\left(8,\ -2\right)

b)

(8, 2)\left(-8,\ -2\right)

c)

(8,2)\left(8,2\right)

d)

(6, 2)\left(-6,\ -2\right)

87.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
88.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
89.
What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)
a)
(-4, 5)
b)
(-8, 5)
c)
( 8, 2.5)
d)
(8, 5)
90.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
91.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
92.

Find the midpoint of segment AB.

a)

(2, -4)

b)

(-1, 1)

c)

(-6, 4)

d)

(-2, 0)

93.

The endpoints of segment ST are (1, -3) and (5, 7). What are the coordinates of the midpoint?

a)

(2, 3)

b)

(3, 2)

c)

(2, -5)

d)

(-1, -1)

94.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

95.
Find the slope of the line with the following two points
(-10,6)  and (42, 6)
a)
undefined
b)
0
c)
12/52 or  3/13
d)
4/36 or 1/9
96.
Find the slope of the line with the following points
(6, -2)  and (3,7)
a)
3/5
b)
5/3
c)
3/-9= 1/-3
d)
9/-3 = 3/-1
97.
Find the slope of the line with the following two points
(-8,3)  and (-8, 5)
a)
2/0= undefined
b)
2/0= zero
c)
2/-16= 1/-8
98.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
99.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
100.
Two consecutive angles in a parallelogram have measures of 3x-2 and 4x+7. What is the value of x?
a)
-9
b)
26
c)
25
d)
5
101.
What is the value of angle F?
a)
9
b)
12
c)
90
d)
110
102.
What is the value of x?
a)
4
b)
360
c)
12
d)
6
103.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
104.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
105.
What is the value of x?
a)
9
b)
11
c)
12
d)
3
106.
In parallelogram CARS, m<C = 5x-20 and m<A = 3x+40. What is the m<C?
a)
20⁰
b)
80⁰
c)
30⁰
d)
130⁰
107.
Trapezoid QRST is isosceles, where QR = TS. What is the m<R?
a)
130⁰
b)
12⁰
c)
-28⁰
d)
-190⁰
108.
The opposite angles of a parallelogram will always:
a)
be complementary
b)
be supplementary
c)
be congruent
d)
have a sum of 360 degrees
109.
Which of the following shapes is not a quadrilateral?
a)
trapezoid
b)
triangle
c)
parallelogram
d)
rhombus
110.
a)

77°

b)

67°

c)

113°

d)

103°

111.
a)

93°

b)

88°

c)

69°

d)

45°

112.
a)

Q=45°, R=45°, S=135°

b)

Q=135°, R=135°, S=45°

c)

Q=45°, R=135°, S=45°

d)

Q=100°, R=80°, S=80°

113.
a)

60°

b)

80°

c)

143°

d)

37°

114.
a)

127°

b)

137°

c)

33°

d)

43°

115.
a)

70°

b)

110°

c)

100°

d)

360°

116.
a)

115°

b)

65°

c)

35°

d)

45°

117.
a)

P=180°, R=34°, S=146°

b)

P=146°, R=34°, S=146°

c)

P=34°, R=146°, S=34°

d)

P=34°, R=34°, S=146°

118.
a)

T=126°, U=54°, W=126°

b)

T=54°, U=126°, W=126°

c)

T=54°, U=126°, W=54°

d)

T=54°, U=116°, W=116°

119.
a)

38°

b)

98°

c)

93°

d)

110°

120.
a)

64°

b)

90°

c)

180°

d)

34°

121.
a)

Rhombus

b)

Parallelogram

c)

Trapezium

d)

Kite

122.
a)

53

b)

143

c)

37

d)

HM = CA

123.
a)

Parallelogram

b)

Rhombus

c)

Trapezium

d)

Kite

124.

The consecutive angles of a parallelogram _______________

a)

are congruent

b)

are complementary

c)

are supplementary

d)

add up to 180°