EduSahara™ Worksheet

Question 1

1.

Find the adjacent angles in the given figure

(i)

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

∠1 , ∠2 , ∠7 , ∠8
(iii)

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

∠3 , ∠5 ; ∠4 , ∠6
(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)

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

∠1 , ∠8 ; ∠2 , ∠7
(iii)

∠3 , ∠6 ; ∠4 , ∠5
(iv)

∠3 , ∠5 ; ∠4 , ∠6
(v)

∠3 , ∠4 , ∠5 , ∠6

Question 3

3.

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)

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

∠3 , ∠4 , ∠5 , ∠6
(iv)

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠3 , ∠6 ; ∠4 , ∠5

Question 4

4.

Find the exterior angles in the given figure

(i)

∠1 , ∠2 , ∠7 , ∠8
(ii)

∠3 , ∠6 ; ∠4 , ∠5
(iii)

∠3 , ∠5 ; ∠4 , ∠6
(iv)

∠3 , ∠4 , ∠5 , ∠6
(v)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7

Question 5

5.

Find the interior alternate angles in the given figure

(i)

∠3 , ∠5 ; ∠4 , ∠6
(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 , ∠6 ; ∠4 , ∠5

Question 6

6.

Find the exterior alternate angles in the given figure

(i)

∠3 , ∠4 , ∠5 , ∠6
(ii)

∠3 , ∠6 ; ∠4 , ∠5
(iii)

∠1 , ∠2 , ∠7 , ∠8
(iv)

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8

Question 7

7.

Find the corresponding angles in the given figure

(i)

∠1 , ∠2 , ∠7 , ∠8
(ii)

∠3 , ∠6 ; ∠4 , ∠5
(iii)

∠3 , ∠5 ; ∠4 , ∠6
(iv)

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8

Question 8

8.

Find the co-interior angles in the given figure

(i)

∠1 , ∠2 , ∠7 , ∠8
(ii)

∠1 , ∠8 ; ∠2 , ∠7
(iii)

∠3 , ∠4 , ∠5 , ∠6
(iv)

∠3 , ∠5 ; ∠4 , ∠6
(v)

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

Question 9

9.

Find the value of 'y'

(i)

67°
(ii)

72°
(iii)

62°
(iv)

57°
(v)

87°

Question 10

10.

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

(i)

30
(ii)

27
(iii)

31
(iv)

29
(v)

32

Question 11

11.

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

(i)

19
(ii)

21
(iii)

20
(iv)

22
(v)

18

Question 12

12.

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

(i)

10
(ii)

12
(iii)

8
(iv)

11
(v)

13

Question 13

13.

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

(i)

11
(ii)

14
(iii)

12
(iv)

9
(v)

13

Question 14

14.

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

(i)

16
(ii)

14
(iii)

11
(iv)

13
(v)

15

Question 15

15.

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

(i)

50°
(ii)

60°
(iii)

45°
(iv)

75°
(v)

55°

Question 16

16.

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

(i)

65°
(ii)

80°
(iii)

55°
(iv)

60°
(v)

50°

Question 17

17.

(i)

32

°

,

72

°

,

32

°

,

72

°

,

76

°

,

76

°
(ii)

76

°

,

32

°

,

32

°

,

72

°

,

72

°

,

76

°
(iii)

72

°

,

32

°

,

76

°

,

72

°

,

32

°

,

76

°
(iv)

32

°

,

72

°

,

76

°

,

32

°

,

76

°

,

72

°
(v)

76

°

,

32

°

,

72

°

,

72

°

,

76

°

,

32

°

Question 18

18.

In the given figure, MN ∥ OP, ∠KHN = 58° and HI = JH. Find the measure of x.

(i)

x

=

64°
(ii)

x

=

65°
(iii)

x

=

63°
(iv)

x

=

62°
(v)

x

=

66°

Question 19

19.

In the given figure, CD ∥ EF and CE = EG. Find the values of x,y and z.

(i)

x

=

37°

,

y

=

70°

,

z

=

38°
(ii)

x

=

33°

,

y

=

72°

,

z

=

40°
(iii)

x

=

33°

,

y

=

70°

,

z

=

42°
(iv)

x

=

35°

,

y

=

70°

,

z

=

40°
(v)

x

=

35°

,

y

=

68°

,

z

=

42°

Question 20

20.

In the following figure GH ∥ JI, find the values of x and y.

(i)

x

=

31°

,

y

=

121°
(ii)

x

=

28°

,

y

=

118°
(iii)

x

=

29°

,

y

=

119°
(iv)

x

=

32°

,

y

=

122°
(v)

x

=

30°

,

y

=

120°

Question 21

21.

In the given figure, it is given that ED ∥ GF , ∠EGF = 64° and ∠EDC = 88°. Find the value of x.

(i)

x

=

29°
(ii)

x

=

28°
(iii)

x

=

30°
(iv)

x

=

26°
(v)

x

=

27°

Question 22

22.

In the adjoining figure, side RS of parallelogram PQRS has been produced to T. If ∠QRT = 113.57° , find the measure of each angle of the parallelogram.

(i)

P

=

67.43°

,

Q

=

112.57°

,

R

=

68.43°

,

S

=

111.57°
(ii)

P

=

64.43°

,

Q

=

115.57°

,

R

=

65.43°

,

S

=

114.57°
(iii)

P

=

68.43°

,

Q

=

112.57°

,

R

=

64.43°

,

S

=

114.57°
(iv)

P

=

65.43°

,

Q

=

111.57°

,

R

=

67.43°

,

S

=

115.57°
(v)

P

=

66.43°

,

Q

=

113.57°

,

R

=

66.43°

,

S

=

113.57°

Question 23

23.

(i)

113.21°
(ii)

112.21°
(iii)

116.21°
(iv)

115.21°
(v)

114.21°

Question 24

24.

Which of the following are true for alternate angles?

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

(i)

{a,b,e}
(ii)

{c,a}
(iii)

{f,c,e}
(iv)

{d,b}
(v)

{d,a,b}

Question 25

25.

Which of the following are true for corresponding angles?

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

(i)

{d,a}
(ii)

{a,b,c}
(iii)

{e,b}
(iv)

{f,d,c}
(v)

{e,a,b}

Question 26

26.

Which of the following are true?

a)	If v ⟂ w and v ⟂ x , then w ⟂ x
b)	If v ⟂ w and w ⟂ x , then v ⟂ x
c)	If two lines are parallel to the same line, then they are parallel to each other
d)	If v ∥ w and w ∥ x , then v ∥ x
e)	If two lines are parallel to the same line, then they are perpendicular to each other

(i)

{c,d}
(ii)

{b,d}
(iii)

{a,c}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 27

27.

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

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