Free Printable Lines And Angles

1.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

2.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

3.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

4.

Find $m\angle2.$

( NMMS 2010 )

a)

$65\degree$

b)

$180\degree$

c)

$115\degree$

5.

Find $m\angle1.$

( NMMS 2010 )

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

6.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

7.

Which is the correct equation to solve for x?

a)

40

b)

20

c)

-8

d)

32

8.

Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

9.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

10.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 4,\ \angle\ 8,\ \angle9$

a)

$\angle4$

b)

$\angle8$

c)

$\angle9$

d)

Not enough information

11.

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

12.

An angle which is complement of itself is___

a)

90°

b)

60°

c)

45°

d)

55°

13.

The supplementary angles of 132° is ______

a)

48°

b)

58°

c)

68°

d)

38°

14.

Angles A and B form a linear pair.

\ m\angle A=6x-19\ and\ m\angle B=11x-22.

Determine the measure of angle B.

a)

$59\degree$

b)

$65\degree$

c)

$115\degree$

d)

$121\degree$

15.

Which lines are parallel?

a)

p and r

b)

q and s

c)

p and s

d)

q and r

16.

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

a)

$\angle1\cong\angle16$

b)

$\angle7\cong\angle10$

c)

$m\angle14+m\angle15=180$

d)

$m\angle6+m\angle10=180$

17.

Calculate the missing angle.

a)

130º

b)

65º

c)

50º

d)

115º

18.

If angle 4 is x + 15 and angle 2 is 3x - 5, what is the value of x?

a)

5

b)

10

c)

25

d)

x + 15

19.

What is the measure of the missing angle?

a)

140

b)

130

c)

50

d)

90

20.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

21.

Two angles are complementary to each other and are equal. Find them ?

( NMMS 2012 )

a)

50⁰.50⁰

b)

45⁰.45⁰

c)

90⁰.90⁰

d)

30⁰.30⁰

22.

The pair of ________ angles are complementary angles.

( NMMS 2011 )

a)

obtuse

b)

acute

c)

reflex

d)

right

23.

The values of x, y and z in the adjacent diagram.

( NMMS 2019 )

a)

x= 88⁰, y = 67⁰, z = 92⁰

b)

x= 92⁰, y = 88⁰, z = 67⁰

c)

x= 67⁰, y = 92⁰, z = 88⁰

d)

x= 88⁰, y = 92⁰, z = 67⁰

24.

From the figure, Find the value of

\angle x+\angle y

( NMMS 2018 )

a)

116⁰

b)

120⁰

c)

99⁰

d)

118⁰

25.

Find the value of x.

a)

35

b)

140

c)

175

d)

75

26.

Find the value of a.

a)

58^o

b)

64^o

c)

116^o

d)

128^o

27.

Find the value of

\angle PRQ

a)

$45\degree$

b)

$70\degree$

c)

$65\degree$

d)

$110\degree$

28.

Find the value of x.

a)

$130\degree$

b)

$55\degree$

c)

$30\degree$

d)

$75\degree$

29.

Find

\angle DCE\ \ if\ AB\parallel DE

a)

$88\degree$

b)

$53\degree$

c)

$92\degree$

d)

$35\degree$

30.

Find the value of x and y.

a)

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

b)

$x=130\degree,\ y=\ 130\degree$

c)

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

d)

$x=50\degree,\ y=\ 50\degree$

31.

Find the value of y.

a)

7

b)

6

c)

5

d)

8

32.

Find the value of x.

a)

$30\degree$

b)

$50\degree$

c)

$45\degree$

d)

$40\degree$

33.

Find the value of x if

l_1\parallel l_2

a)

$78\degree$

b)

$35\degree$

c)

$47\degree$

d)

$57\degree$

34.

$If\ AB\parallel CD$ Find the value of y.

a)

$126\degree$

b)

$36\degree$

c)

$54\degree$

d)

$72\degree$

35.

$Find\ the\ value\ of\ \angle BCE$

a)

$75\degree$

b)

$65\degree$

c)

$140\degree$

d)

$90\degree$

36.

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

a)

$120\degree$

b)

$140\degree$

c)

$180\degree$

d)

$40\degree$

37.

Say 'TRUE' or 'FALSE'
A triangle must have at least two acute angles

a)

TRUE

b)

FALSE

38.

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

39.

a)

∠a = 60°

b)

∠a = 50°

c)

∠a = 10°

d)

∠a = 55°

40.

What is the value of x?

a)

-5

b)

5

c)

8

d)

11

41.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

42.

What is the value of x?

a)

13

b)

6.2

c)

29.8

43.

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

a)

214 degrees

b)

6 degrees

c)

186 degrees

d)

180 degrees

44.

If < ABC= 103⁰, find m< ABD

a)

45

b)

13

c)

57

d)

46

45.

Solve for x.

a)

x = 10

b)

x = 9

c)

x = 2

d)

x = 11

46.

Angles A and B form a linear pair.

\ m\angle A=6x-19\ and\ m\angle B=11x-22.

Determine the measure of angle B.

a)

$59\degree$

b)

$65\degree$

c)

$115\degree$

d)

$121\degree$

47.

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

a)

$\angle5\cong\angle3$

b)

$m\angle3+m\angle5=180\degree$

c)

$m\angle4+m\angle6=180\degree$

d)

$\angle2\cong\angle3$

e)

$\angle5\cong\angle6$

48.

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

a)

$\angle1\cong\angle16$

b)

$\angle7\cong\angle10$

c)

$m\angle14+m\angle15=180$

d)

$m\angle6+m\angle10=180$

49.

If the $m\angle6=55\degree,$ what is $m\angle12$ and which rule did you use?

a)

$55\degree$

b)

$125\degree$

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.

50.

If the $m\angle11=105\degree,$ what is $m\angle12$ and which rule did you use?

a)

$105\degree$

b)

$75\degree$

c)

Alternate exterior angles are supplementary.

d)

Consecutive interior angles are supplementary.

e)

Linear pairs are supplementary.

51.

If the $m\angle8=50\degree,$ what is $m\angle10$ and which rule did you use?

a)

$130\degree$

b)

$50\degree$

c)

Alternate exterior angles are complementary.

d)

Consecutive interior angles are supplementary.

e)

Neither, I used a different rule.

52.

If the $m\angle9=122\degree,$ what is $m\angle10$ and which rule did you use?

a)

$122\degree$

b)

$68\degree$

c)

$58\degree$

d)

Consecutive interior angles are supplementary.

e)

Consecutive exterior angles are supplementary.

53.

Find x:

a)

3

b)

3.86

c)

71

d)

88.2

e)

Other

54.

If $\angle9=4x$ and $\angle10=6x-10,$ solve for $\angle13$ Hint: solve for x, first

a)

5

b)

19

c)

160

d)

104

e)

76

55.

If $\angle6=18-3x$ and $\angle12=10x+109,$ solve for $\angle13$ Hint: solve for x, first.

a)

7

b)

141

c)

-7

d)

39

e)

Other

56.

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

a)

35

b)

1

c)

165

d)

1/6

e)

135

57.

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

a)

$\angle1\ and\ \angle3$

b)

$\angle1\ and\ \angle5$

c)

$\angle5\ and\ \angle3$

d)

$\angle1\ and\ \angle8$

e)

$\angle6\ and\ \angle3$

58.

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

a)

$\angle4\cong\angle5$

b)

$\angle3\cong\angle7$

c)

$\angle3\cong\angle5$

d)

$\angle1\cong\angle7$

59.

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

a)

$\angle3\cong\angle6$

b)

$\angle1\cong\angle5$

c)

$\angle3\cong\angle5$

d)

$\angle2\cong\angle8$

60.

What is the measure of angle b

a)

146

b)

34

c)

36

d)

136

61.

What is the value of X?

a)

110°

b)

120°

c)

60°

d)

90°

62.

In this figure, lines m and n are l l . Name all of the angles that have the same measure as <1.

a)

<3, <2 and <6

b)

<3, <5 and <7

c)

<2, <6 and <8

d)

<3

63.

Look at the figure. Which statement must be true in order to prove that lines b and c are parallel?

a)

<1 is congruent to <7

b)

<1 is congruent to <4

c)

<3 is supplementary to <6

d)

<1 is supplementary to <2

64.

Which term best describes the relationship between <3 and <6?

a)

Same-side exterior angles

b)

Corresponding angles

c)

Alternate Interior angles

d)

Same-side Interior angles

65.

Which angle is supplementary to <4?

a)

<5

b)

<3

c)

<1

d)

All of the above

66.

Which theorem explains why <7 is congruent to <3?

a)

Same Side Interior Angles Postulate

b)

Alternate Interior Angles Theorem

c)

Corresponding Angles Theorem

d)

Vertical Angles Postulate

67.

What is the length of AC?

a)

6cm

b)

3 cm

c)

1.5 cm

d)

9cm

68.

Line I is the perpendicular bisector of AB. What is the length of AB?

a)

6 cm

b)

3 cm

c)

12 cm

d)

20 cm

69.

A ______________ is a line that intersects other lines.

a)

straight line

b)

perpendicular

c)

parallel line

d)

transversal

70.

Alternate interior angles lie on _____________ sides of the transversal and inside the intersected lines.

a)

same side

b)

upside down

c)

opposite

d)

similar

71.

Name a pair of alternate interior angles.

a)

<2 and <7

b)

<1 and <6

c)

<3 and <7

d)

<7 and <4

72.

Name a pair of same side interior angles.

a)

<3 and <2

b)

<6 and <7

c)

<1 and <4

d)

<5 and <1

73.

Name a pair of alternate exterior angles.

a)

<1 and <8

b)

<6 and <7

c)

<3 and <8

d)

<4 and <5

74.

What is the measurement of the angle labeled as "1"?

a)

133°

b)

180°

c)

90°

d)

47°

75.

What is the measurement of angle 2?

a)

119°

b)

71°

c)

63°

76.

Find X

a)

x = 8x - 34

b)

x = 12

c)

x = 5x

77.

Determine if the angle relationship is enough to prove the line m l l line n. If so, Identify what theorem you used to prove the lines are parallel.

<3 + <6 = 180

a)

No, Converse of different side exterior angles

b)

Yes, converse of same side interior angles postulate

c)

Yes, converse of corresponding angle

d)

No, Can't prove

78.

Determine if the angle relationship is enough to prove the line m l l line n. If so, Identify what theorem you used to prove the lines are parallel.

<4 is congruent to <6

a)

Yes, converse of alternate interior angles theorem

b)

No, can't prove

c)

Yes, Congruent angle theorem

d)

Yes, Alternate exterior angles postulate

Lines And Angles

Total questions: 78

Worksheet time: 1hrs 10mins

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