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Worksheets

Lines and Angles

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.


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

2.
a)
55o alternate
b)
55o corresponding
c)
125o alternate
d)
125o corresponding
3.

Which of the angle pairs below is a pair of alternate interior angles?  

a)

7 \angle7\  and  5\angle5  

b)

3 \angle3\  and  7\angle7  

c)

4\angle4  and  8\angle8  

d)

1 \angle1\  and  3\angle3  

4.

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

5.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

6.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

7.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
8.

What it the measurement for angle 1?

a)

140o

b)

180o

c)

40o

d)

160o

9.

An angle which is complement of itself is___

a)

90°

b)

60°

c)

45°

d)

55°

10.
The supplementary angles of 132° is ______
a)
48°
b)
58°
c)
68°
d)
38°
11.

An angle whose magnitude lies between 180⁰ and 360⁰ is called_______

a)

Obtuse Angle

b)

Acute angle

c)

Reflex angle

d)

Complete angle

12.

If an angle is half of its complementary , find the angle

a)

60 degree

b)

30 degree

c)

40 degree

d)

None

13.

2x and 3x are linear pair angles find smallest angle

a)

72

b)

108

c)

36

d)

None

14.

If the angles forming linear pair are in the ratio 4:6 then measure of obtuse angle

a)

36 degree

b)

72 degree

c)

108 degree

d)

None

15.

Two parallel lines intersect at:

a)

One point

b)

Two points

c)

Three points

d)

None of these

16.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
17.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
18.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
19.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
20.

An exterior angle of a triangle is 110°110^{\degree}  and its two interior opposite angles are equal. Each of these equal angles is

a)

70°70^{\degree}  

b)

45°45^{\degree}  

c)

55°55^{\degree}  

d)

35°35^{\degree}  

21.

In the given figure, AB \parallel  CD and BC \parallel  ED. Find the value of x.

a)

105°105^{\degree}  

b)

115°115\degree  

c)

75°75^{\degree}  

d)

110°110^{\degree}  

22.

In the given figure,  \angle  ODC = ?

a)

20°20^{\degree}  

b)

25°25^{\degree}  

c)

35°35^{\degree}  

d)

30°30^{\degree}  

23.

If AB  \parallel  CD, then  \angle  QPR = ?

a)

50°50^{\degree}  

b)

60°60^{\degree}  

c)

40°40^{\degree}  

d)

35°35^{\degree}  

24.

In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is

a)

90 degrees

b)

126 degrees

c)

144 degrees

d)

180 degrees

25.

In figure, AB || ED, the value of x is

a)

26 degrees

b)

36 degrees

c)

54 degrees

d)

62 degrees

26.

In the figure, if x, y and z are exterior angles of ΔABC then x + y + z is

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

27.

If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given above


The value of ∠AGE is

a)

120 degrees

b)

150 degrees

c)

180 degrees

d)

135 degrees

28.

What are collinear points?

a)

Points that lie on the same line

b)

Points that don't lie on the same line

c)

Cannot tell

29.

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

30.
If two lines are given, how many transversals can be drawn for these lines?
a)
1
b)
2
c)
5
d)
infinite number of transversals
31.

In the figure, PQ || MN, the value of x will be

a)

85 degree 

b)

90 degree

c)

93 degree

d)

data insufficient - cannot be determined

32.

In the given figure, PQ||RS and EF||QS. If ∠PQS = 60°, then the measure of ∠RFE is:

a)

60 degree

b)

120 degree

c)

180 degree

d)

115 degree

33.

In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is:

a)

40 degree

b)

65 degree

c)

115 degree

d)

140 degree

34.

In the given figure, if AOB is a straight line, then ∠BOC is

a)

80 degree

b)

70 degree

c)

35 degree

d)

20 degree

35.

angle whose complement is two times itself

a)

60 degree

b)

45 degree

c)

39 degree

d)

30 degree

36.

In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is

a)

50°

b)

40°

c)

60°

37.

In Figure, if QT ⊥ PR, ∠ TQR = 40° and ∠ SPR = 30°, find x and y

a)

x = 50° y = 80°

b)

x = 90° y = 30°

c)

x = 40° y = 50°

38.
Solve for x.
a)
16
b)
11
c)
50
d)
6
39.

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

40.

In if AB || CD || EF, PQ || RS, ∠RQD

= 25° and ∠CQP = 60°, then ∠QRS is equal

to

a)

(A)

85°

b)

(B)

135°

°

c)

(C)

145°

d)

(D)

110

41.

In Fig if OP||RS, ∠OPQ = 110° and ∠QRS = 130°, then ∠ PQR is equal to

a)

(A)

40°

b)

(B)

50°

c)

(C)

60°

d)

(D)

70°

42.

In Fig AB, CD and EF are three lines concurrent at O. Find the value of y.

a)

(A)

40°

b)

(B)

50°

c)

(C)

20°

d)

(D)

70°

43.

In figure l1 || l2, the value of x is

a)

80°

b)

100°

c)

110°

d)

70°

44.

In figure the value of x is

a)

120°

b)

130°

c)

110°

d)

100°

45.

In Fig. 6.40, X = 62°, XYZ = 54°. If YO and ZO are the bisectors of XYZ and XZY respectively of Δ XYZ, find XZY.

a)

27o

b)

32o

c)

64o

d)

121o

46.

If an angle is five times its supplementary angle, then the angle is

a)

75°

b)

150

c)

144 degrees

d)

40 degrees

47.

The complementary angle of x is

a)

90 - x

b)

180 - x

c)

x

d)

None of these

48.

In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is:

a)

90o

b)

126o

c)

144o

d)

Obtuse angle

49.

In the figure, p || q. The value of x is:

a)

35o

b)

55o

c)

70o

d)

110o

50.

In the given figure, if ∠ AOC = 50° then (∠AOD + ∠COB) is equal to:

a)

100o

b)

130o

c)

140o

d)

260o