EduSahara™ Worksheet

Question 1

1.

Find the adjacent angles in the given figure

(i)

∠3 , ∠5 ; ∠4 , ∠6
(ii)

∠1 , ∠2 , ∠7 , ∠8
(iii)

∠3 , ∠6 ; ∠4 , ∠5
(iv)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)

∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5

Question 2

2.

Find the vertically opposite angles in the given figure

(i)

∠3 , ∠5 ; ∠4 , ∠6
(ii)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)

∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)

∠3 , ∠6 ; ∠4 , ∠5
(v)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7

Question 3

3.

Find the co-interior angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

∠3 , ∠5 ; ∠4 , ∠6
(iii)

∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8

Question 4

4.

In which of the figures given bellow, l ∥ m?

(i)

III
(ii)

I
(iii)

II
(iv)

IV

Question 5

5.

Find the interior alternate angles in the given figure

(i)

∠3 , ∠4 , ∠5 , ∠6
(ii)

∠3 , ∠5 ; ∠4 , ∠6
(iii)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iv)

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠3 , ∠6 ; ∠4 , ∠5

Question 6

6.

Which of the given figures is correct?

(i)

III
(ii)

II
(iii)

I
(iv)

IV

Question 7

7.

In the given figure l ∥ m. Find the value of 'v'

(i)

13
(ii)

17
(iii)

14
(iv)

15
(v)

11

Question 8

8.

Which of the given figures is wrong?

(i)

I
(ii)

IV
(iii)

III
(iv)

II

Question 9

9.

Which of the following are true for alternate angles?

a)	They are not adjacent angles
b)	They are in the same side of the transversal
c)	Both are interior angles
d)	One is interior angle and the other is exterior
e)	They are on either side of the transversal
f)	They are adjacent angles

(i)

{f,b,e}
(ii)

{b,a}
(iii)

{d,a,c}
(iv)

{d,c}
(v)

{a,c,e}

Question 10

10.

In the given figure l ∥ m. Find the value of 's'

(i)

13
(ii)

11
(iii)

12
(iv)

10
(v)

15

Question 11

11.

In the given figure l ∥ m. Find the value of 'q'

(i)

38
(ii)

34
(iii)

36
(iv)

37
(v)

35

Question 12

12.

In the given figure l ∥ m. Find the value of 'u'

(i)

9
(ii)

8
(iii)

13
(iv)

10
(v)

11

Question 13

13.

In the given figure, a , b , c , d , e , f are lines in a plane. By looking at the figure, which of the following are true?

a)	d is the transversal of a & b
b)	a ∥ b
c)	f is the transversal of c & a
d)	a is the transversal of c & e
e)	a ∥ d
f)	e is the transversal of c & d

(i)

{d,a}
(ii)

{d,e,c}
(iii)

{a,b,c,f}
(iv)

{d,f,a}
(v)

{e,b}

Question 14

14.

In the given figure, NO ∥ PQ, ∠FCO = 63° and CD = EC. Find the measure of x.

(i)

x

=

54°
(ii)

x

=

56°
(iii)

x

=

52°
(iv)

x

=

53°
(v)

x

=

55°

Question 15

15.

Find the interior angles in the given figure

(i)

∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)

∠3 , ∠4 , ∠5 , ∠6
(iii)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iv)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)

∠3 , ∠5 ; ∠4 , ∠6

Question 16

16.

In the given figure, it is given that FE ∥ HG , ∠FHG = 65° and ∠FED = 89°. Find the value of x.

(i)

x

=

27°
(ii)

x

=

26°
(iii)

x

=

28°
(iv)

x

=

24°
(v)

x

=

25°

Question 17

17.

In the given figure, JK ∥ LM and JL = LN. Find the values of x,y and z.

(i)

x

=

30°

,

y

=

69°

,

z

=

42°
(ii)

x

=

28°

,

y

=

69°

,

z

=

44°
(iii)

x

=

28°

,

y

=

71°

,

z

=

42°
(iv)

x

=

30°

,

y

=

67°

,

z

=

44°
(v)

x

=

32°

,

y

=

69°

,

z

=

40°

Question 18

18.

In which of the figures given bellow, l ∦ m(not parallel)?

(i)

IV
(ii)

I
(iii)

II
(iv)

III

Question 19

19.

In the given figure l ∥ m. Find the value of 'v'

(i)

46
(ii)

44
(iii)

47
(iv)

43
(v)

45

Question 20

20.

Which of the following are true with respect to lines a , b , c , d where a ∥ b , b ⟂ c , c ⟂ d?

a)	a ∥ d
b)	a ∥ c
c)	c ∥ d
d)	b ∥ d
e)	a ⟂ d

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{a,d}
(v)

{c,d,a}

Question 21

21.

Find the corresponding angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iv)

∠3 , ∠4 , ∠5 , ∠6
(v)

∠1 , ∠2 , ∠7 , ∠8

Question 22

22.

If l ∥ m, which of the given figures is correct?

(i)

II
(ii)

IV
(iii)

III
(iv)

I

Question 23

23.

In the given figurel ∥ m. Find the value of 'q'

(i)

70°
(ii)

55°
(iii)

45°
(iv)

50°
(v)

40°

Question 24

24.

In the adjoining figure, side MN of parallelogram LMNO has been produced to P. If ∠LMP = 76.18° , find the measure of each angle of the parallelogram.

(i)

L

=

74.18°

,

M

=

105.82°

,

N

=

75.18°

,

O

=

104.82°
(ii)

L

=

76.18°

,

M

=

103.82°

,

N

=

76.18°

,

O

=

103.82°
(iii)

L

=

77.18°

,

M

=

102.82°

,

N

=

78.18°

,

O

=

101.82°
(iv)

L

=

78.18°

,

M

=

102.82°

,

N

=

74.18°

,

O

=

104.82°
(v)

L

=

75.18°

,

M

=

101.82°

,

N

=

77.18°

,

O

=

105.82°

Question 25

25.

In the following figure AB ∥ DC, find the values of x and y.

(i)

x

=

36°

,

y

=

108°
(ii)

x

=

34°

,

y

=

106°
(iii)

x

=

37°

,

y

=

109°
(iv)

x

=

38°

,

y

=

110°
(v)

x

=

35°

,

y

=

107°

Assignment Key