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Worksheets

Angles Relationships

Total questions: 30

Worksheet time: 2hrs 58mins

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.

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  

4.

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

5.

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  

6.

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  

7.

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  

8.

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


Which two angles would be Alternate Exterior?

a)


8\angle8 and 2\angle2

b)

6\angle6 and 3\angle3

c)

5\angle5 and 4\angle4

d)

5\angle5 and 1\angle1

9.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
10.

What is the value of x?

a)

15

b)

16

c)

18

d)

19

11.
What is the value of y?
a)
29
b)
119
c)
58
12.
Find x.
a)
130
b)
50
13.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
14.
What is the value of x?
a)
13
b)
6.2
c)
29.8
15.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

16.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

17.

Find the indicated angle measure. (What is ?)

a)

100°

b)

39°

c)

107°

d)

73°

18.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

19.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

20.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

21.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

22.

What is the sum of exterior angles of a triangle?

a)

180

b)

360

c)

540

d)

760

23.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
24.
a)
Function
b)
Not a Function
25.
Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?
a)
y = 25x + 10
b)
x = 25y + 10
c)
y = 10x +25
d)
x = 10y + 25
26.
Who has the greater rate of change?
a)
Hunter has the greater rate of change.
b)
Casey has the greater rate of change 
c)
They have the same rate of change
27.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
28.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
29.
Write the equation of a line that passes through the point (-5,-4) and has a slope of 1/5.
a)
y=1/5x - 3
b)
y=-3x-2/5
c)
y= 1/5x - 4
d)
y= 1/5x + 3
30.
Find the equation that represents the line going through (0, 2) and (-4, 0).
a)
y = 1/2 x - 4
b)
y = 1/2 x + 2
c)
y = 2x + 2
d)
y = -2x - 4