EduSahara™ Worksheet

Question 1

1.

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

(i)

16
(ii)

15
(iii)

12
(iv)

17
(v)

14

Question 2

2.

(i)

119.34°
(ii)

115.34°
(iii)

118.34°
(iv)

117.34°
(v)

116.34°

Question 3

3.

Find the exterior angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

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

∠3 , ∠5 ; ∠4 , ∠6
(iv)

∠1 , ∠2 , ∠7 , ∠8
(v)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7

Question 4

4.

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

(i)

IV
(ii)

II
(iii)

III
(iv)

I

Question 5

5.

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

(i)

19
(ii)

20
(iii)

18
(iv)

17
(v)

15

Question 6

6.

Find the corresponding angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

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

∠3 , ∠5 ; ∠4 , ∠6
(iv)

∠1 , ∠2 , ∠7 , ∠8
(v)

∠3 , ∠4 , ∠5 , ∠6

Question 7

7.

Find the adjacent angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

∠1 , ∠2 , ∠7 , ∠8
(iii)

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

∠3 , ∠4 , ∠5 , ∠6
(v)

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

Question 8

8.

Find the co-interior angles in the given figure

(i)

∠1 , ∠8 ; ∠2 , ∠7
(ii)

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

∠3 , ∠5 ; ∠4 , ∠6
(iv)

∠3 , ∠4 , ∠5 , ∠6
(v)

∠3 , ∠6 ; ∠4 , ∠5

Question 9

9.

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

(i)

x

=

34°

,

y

=

69°

,

z

=

42°
(ii)

x

=

34°

,

y

=

67°

,

z

=

44°
(iii)

x

=

36°

,

y

=

69°

,

z

=

40°
(iv)

x

=

32°

,

y

=

71°

,

z

=

42°
(v)

x

=

32°

,

y

=

69°

,

z

=

44°

Question 10

10.

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

(i)

III
(ii)

I
(iii)

II
(iv)

IV

Question 11

11.

Which of the given figures is wrong?

(i)

IV
(ii)

I
(iii)

II
(iv)

III

Question 12

12.

In the following figure IJ ∥ LK, find the values of x and y.

(i)

x

=

49°

,

y

=

79°
(ii)

x

=

51°

,

y

=

81°
(iii)

x

=

50°

,

y

=

80°
(iv)

x

=

48°

,

y

=

78°
(v)

x

=

52°

,

y

=

82°

Question 13

13.

Which of the given figures is correct?

(i)

III
(ii)

I
(iii)

IV
(iv)

II

Question 14

14.

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

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

(i)

{a,b,c,e}
(ii)

{d,e,a}
(iii)

{d,f,c}
(iv)

{f,b}
(v)

{d,a}

Question 15

15.

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

(i)

IV
(ii)

III
(iii)

II
(iv)

I

Question 16

16.

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

(i)

60°
(ii)

75°
(iii)

45°
(iv)

50°
(v)

55°

Question 17

17.

In the adjoining figure, side JK of parallelogram IJKL has been produced to M. If ∠LKM = 137.99° , find the measure of each angle of the parallelogram.

(i)

I

=

44.01°

,

J

=

136.99°

,

K

=

40.01°

,

L

=

138.99°
(ii)

I

=

42.01°

,

J

=

137.99°

,

K

=

42.01°

,

L

=

137.99°
(iii)

I

=

43.01°

,

J

=

136.99°

,

K

=

44.01°

,

L

=

135.99°
(iv)

I

=

40.01°

,

J

=

139.99°

,

K

=

41.01°

,

L

=

138.99°
(v)

I

=

41.01°

,

J

=

135.99°

,

K

=

43.01°

,

L

=

139.99°

Question 18

18.

In the given figure, PQ ∥ RS, ∠EBQ = 62° and BC = DB. Find the measure of x.

(i)

x

=

56°
(ii)

x

=

58°
(iii)

x

=

55°
(iv)

x

=

57°
(v)

x

=

54°

Question 19

19.

Which of the following are true for corresponding angles?

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

(i)

{c,e}
(ii)

{a,b}
(iii)

{b,e,f}
(iv)

{c,b,e}
(v)

{d,a,f}

Question 20

20.

Find the value of 'y'

(i)

91°
(ii)

61°
(iii)

71°
(iv)

66°
(v)

76°

Question 21

21.

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

(i)

11
(ii)

15
(iii)

12
(iv)

9
(v)

13

Question 22

22.

Which of the following are true with respect to lines d , e , f , g where d ∥ e , e ⟂ f , f ⟂ g?

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

(i)

{c,d,b}
(ii)

{b,d}
(iii)

{a,b}
(iv)

{c,d}
(v)

{e,a,b}

Question 23

23.

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

(i)

13
(ii)

9
(iii)

14
(iv)

11
(v)

12

Question 24

24.

In the given figure, it is given that FE ∥ HG , ∠FHG = 69° and ∠FED = 85°. Find the value of x.

(i)

x

=

27°
(ii)

x

=

25°
(iii)

x

=

24°
(iv)

x

=

26°
(v)

x

=

28°

Question 25

25.

Which of the following are true for alternate angles?

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

(i)

{d,c}
(ii)

{a,c,e}
(iii)

{d,a,c}
(iv)

{f,b,e}
(v)

{b,a}

Assignment Key