Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Lines and Angles-9th grade

Total questions: 40

Worksheet time: 38mins

Name
Class
Date
1.

Find the value of x.

a)

35

b)

140

c)

175

d)

75

2.

Find the value of a.

a)

58o

b)

64o

c)

116o

d)

128o

3.

Find the value of

 ∠PRQ\angle PRQ  

a)

 45°45\degree  

b)

 70°70\degree  

c)

 65°65\degree  

d)

 110°110\degree  

4.

Find the value of x.

a)

130°130\degree

b)

55°55\degree

c)

30°30\degree

d)

75°75\degree

5.

Find

 ∠DCE  if AB∥DE\angle DCE\ \ if\ AB\parallel DE  

a)

 88°88\degree  

b)

 53°53\degree  

c)

 92°92\degree  

d)

 35°35\degree  

6.

Find the value of x and y.

a)


x=130°, y=50°x=130\degree,\ y=50\degree

b)

x=130°, y= 130°x=130\degree,\ y=\ 130\degree

c)

x=50°, y= 130°x=50\degree,\ y=\ 130\degree

d)

x=50°, y= 50°x=50\degree,\ y=\ 50\degree

7.

Find the value of y.

a)

7

b)

6

c)

5

d)

8

8.

Find the value of x.

a)

30°30\degree

b)

50°50\degree

c)

45°45\degree

d)

40°40\degree

9.

Find the value of x if

 l1∥l2l_1\parallel l_2  

a)

 78°78\degree  

b)

 35°35\degree  

c)

 47°47\degree  

d)

 57°57\degree  

10.

 If AB∥CDIf\ AB\parallel CD  Find the value of y.

a)

 126°126\degree  

b)

 36°36\degree  

c)

 54°54\degree  

d)

 72°72\degree  

11.

 Find the value of ∠BCEFind\ the\ value\ of\ \angle BCE  


a)

 75°75\degree  

b)

 65°65\degree  

c)

 140°140\degree  

d)

 90°90\degree  

12.

 If AB∥CD and  BC∥DE, If\ AB\parallel CD\ and\ \ BC\parallel DE,\   then find the value of x.


a)

 120°120\degree  

b)

 140°140\degree  

c)

 180°180\degree  

d)

 40°40\degree  

13.
Say 'TRUE' or 'FALSE'
A triangle must have at least two acute angles
a)
TRUE
b)
FALSE
14.
Through a given point, how many perpendiculars to a given line can be drawn?
a)
1
b)
2
c)
3
d)
Not possible to draw
15.
a)
x = 60⁰
b)
x = 80⁰
c)
x = 120⁰
d)
x = 70⁰
16.
a)
∠a = 60°
b)
∠a = 50°
c)
∠a = 10°
d)
∠a = 55°
17.

An angle which is complement of itself is___

a)

90°

b)

60°

c)

45°

d)

55°

18.
The supplementary angles of 132° is ______
a)
48°
b)
58°
c)
68°
d)
38°
19.
If two adjacent angles are equal, then the measure of each of these angles is ____
a)
90°
b)
60°
c)
180°
d)
45°
20.

What is the value of x?

a)

-5

b)

5

c)

8

d)

11

21.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
22.
What is the value of x?
a)
13
b)
6.2
c)
29.8
23.

Without using a protractor, find the measure of angle x.

a)

214 degrees

b)

6 degrees

c)

186 degrees

d)

180 degrees

24.
If < ABC= 103⁰, find m< ABD
a)
45
b)
13
c)
57
d)
46
25.

Solve for x.

a)

x = 10

b)

x = 9

c)

x = 2

d)

x = 11

26.

Angles A and B form a linear pair.  
  m∠A=6x−19 and m∠B=11x−22.\ m\angle A=6x-19\ and\ m\angle B=11x-22.  

Determine the measure of angle B.

a)

 59°59\degree  

b)

 65°65\degree  

c)

 115°115\degree  

d)

 121°121\degree  

27.

2. Line m represents a straight wire attached to 2 parallel telephone poles as shown above. Which statement is true?

a)

∠5≅∠3\angle5\cong\angle3

b)

m∠3+m∠5=180°m\angle3+m\angle5=180\degree

c)

m∠4+m∠6=180°m\angle4+m\angle6=180\degree

d)

∠2≅∠3\angle2\cong\angle3

e)

∠5≅∠6\angle5\cong\angle6

28.

 If c∥d which statement is true?If\ c\parallel d\ which\ statement\ is\ true?  

a)

 ∠1≅∠16\angle1\cong\angle16  

b)

 ∠7≅∠10\angle7\cong\angle10  

c)

 m∠14+m∠15=180m\angle14+m\angle15=180  

d)

 m∠6+m∠10=180m\angle6+m\angle10=180  

29.

If the  m∠6=55°,m\angle6=55\degree,  what is  m∠12m\angle12  and which rule did you use?

a)

 55°55\degree  

b)

 125°125\degree  

c)

Alternate exterior angles are congruent.

d)

Alternate exterior angles are supplementary.

e)

You don't use alternate exterior angles, at all. I used a different rule. 

30.

If the  m∠11=105°,m\angle11=105\degree,  what is  m∠12m\angle12  and which rule did you use?

a)

 105°105\degree  

b)

  75\degree  

c)

Alternate exterior angles are supplementary.

d)

Consecutive interior angles are supplementary.

e)

Linear pairs are supplementary.

31.

If the  m∠8=50°,m\angle8=50\degree,  what is  m∠10m\angle10  and which rule did you use?

a)

 130°130\degree  

b)

  50°50\degree  

c)

Alternate exterior angles are complementary.

d)

Consecutive interior angles are supplementary.

e)

Neither, I used a different rule.

32.

If the  m∠9=122°,m\angle9=122\degree,  what is  m∠10m\angle10  and which rule did you use?

a)

 122°122\degree  

b)

  68°68\degree  

c)

 58°58\degree  

d)

Consecutive interior angles are supplementary.

e)

Consecutive exterior angles are supplementary.

33.

Find x:

a)

3

b)

3.86

c)

71

d)

88.2

e)

Other

34.

If ∠9=4x\angle9=4x and  ∠10=6x−10,\angle10=6x-10,   solve for  ∠13\angle13  Hint: solve for x, first

a)

5

b)

19

c)

160

d)

104

e)

76

35.

If ∠6=18−3x\angle6=18-3x and  ∠12=10x+109,\angle12=10x+109,   solve for  ∠13\angle13  Hint: solve for x, first.

a)

7

b)

141

c)

-7

d)

39

e)

Other

36.

If ∠7=45x+120\angle7=45x+120 and  ∠13=135x+30,\angle13=135x+30,   solve for  ∠9\angle9  Hint: solve for x, first.

a)

35

b)

1

c)

165

d)

1/6

e)

135

37.

Which angles need to be congruent, for lines k and m to be parallel?

a)

∠1 and ∠3\angle1\ and\ \angle3

b)

∠1 and ∠5\angle1\ and\ \angle5

c)

∠5 and ∠3\angle5\ and\ \angle3

d)

∠1 and ∠8\angle1\ and\ \angle8

e)

∠6 and ∠3\angle6\ and\ \angle3

38.

If AB || CD, which pair of angles are same side supplementary angles?

a)

 ∠4≅∠5\angle4\cong\angle5  

b)

 ∠3≅∠7\angle3\cong\angle7  

c)

∠3≅∠5\angle3\cong\angle5

d)

 ∠1≅∠7\angle1\cong\angle7  

39.

If AB || CD, which pair of angles are alternate exterior angles?

a)

∠3≅∠6\angle3\cong\angle6

b)

∠1≅∠5\angle1\cong\angle5

c)

∠3≅∠5\angle3\cong\angle5

d)

∠2≅∠8\angle2\cong\angle8

40.
What is the measure of angle b
a)
146
b)
34
c)
36
d)
136