EduSahara™ Worksheet

Question 1

1.

Which of the following are true for alternate angles?

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

(i)

{c,a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{f,b,e}
(v)

{a,d,e}

Question 2

2.

Find the exterior 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)

∠3 , ∠6 ; ∠4 , ∠5
(v)

∠1 , ∠8 ; ∠2 , ∠7

Question 3

3.

Which of the following are true?

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

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{a,b}
(iv)

{c,e,b}
(v)

{c,e}

Question 4

4.

Find the corresponding angles in the given figure

(i)

∠1 , ∠2 , ∠7 , ∠8
(ii)

∠3 , ∠6 ; ∠4 , ∠5
(iii)

∠1 , ∠8 ; ∠2 , ∠7
(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 5

5.

In the following figure FG ∥ IH, find the values of x and y.

(i)

x

=

53°

,

y

=

77°
(ii)

x

=

51°

,

y

=

75°
(iii)

x

=

50°

,

y

=

74°
(iv)

x

=

52°

,

y

=

76°
(v)

x

=

54°

,

y

=

78°

Question 6

6.

(i)

117.86°
(ii)

120.86°
(iii)

119.86°
(iv)

121.86°
(v)

118.86°

Question 7

7.

In the given figure, NO ∥ PQ, ∠LIO = 55° and IJ = KI. Find the measure of x.

(i)

x

=

70°
(ii)

x

=

72°
(iii)

x

=

69°
(iv)

x

=

71°
(v)

x

=

68°

Question 8

8.

In the given figure, it is given that LK ∥ NM , ∠LNM = 56° and ∠LKJ = 99°. Find the value of x.

(i)

x

=

23°
(ii)

x

=

24°
(iii)

x

=

26°
(iv)

x

=

27°
(v)

x

=

25°

Question 9

9.

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

(i)

10
(ii)

9
(iii)

14
(iv)

12
(v)

11

Question 10

10.

Find the interior angles in the given figure

(i)

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

∠3 , ∠4 , ∠5 , ∠6
(iii)

∠3 , ∠6 ; ∠4 , ∠5
(iv)

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

∠3 , ∠5 ; ∠4 , ∠6

Question 11

11.

In the adjoining figure, side EB of parallelogram BCDE has been produced to F. If ∠CBF = 137.03° , find the measure of each angle of the parallelogram.

(i)

B

=

40.97°

,

C

=

139.03°

,

D

=

41.97°

,

E

=

138.03°
(ii)

B

=

41.97°

,

C

=

135.03°

,

D

=

43.97°

,

E

=

139.03°
(iii)

B

=

43.97°

,

C

=

136.03°

,

D

=

44.97°

,

E

=

135.03°
(iv)

B

=

44.97°

,

C

=

136.03°

,

D

=

40.97°

,

E

=

138.03°
(v)

B

=

42.97°

,

C

=

137.03°

,

D

=

42.97°

,

E

=

137.03°

Question 12

12.

Find the value of 't'

(i)

149°
(ii)

139°
(iii)

169°
(iv)

144°
(v)

154°

Question 13

13.

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

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

(i)

{a,b}
(ii)

{d,b,a}
(iii)

{d,b}
(iv)

{e,c,a}
(v)

{c,a}

Question 14

14.

(i)

54

°

,

78

°

,

78

°

,

54

°

,

48

°

,

48

°
(ii)

48

°

,

78

°

,

54

°

,

54

°

,

78

°

,

48

°
(iii)

78

°

,

48

°

,

54

°

,

78

°

,

48

°

,

54

°
(iv)

48

°

,

48

°

,

54

°

,

78

°

,

78

°

,

54

°
(v)

54

°

,

78

°

,

48

°

,

78

°

,

48

°

,

54

°

Question 15

15.

Which of the given figures is wrong?

(i)

I
(ii)

IV
(iii)

II
(iv)

III

Question 16

16.

In the given figure, f , g , h , i , j , k are lines in a plane. By looking at the figure, which of the following are true?

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

(i)

{e,c}
(ii)

{b,f,a}
(iii)

{b,e,d}
(iv)

{b,a}
(v)

{a,c,d,f}

Question 17

17.

Find the vertically opposite angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(ii)

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

∠3 , ∠4 , ∠5 , ∠6
(iv)

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

∠1 , ∠8 ; ∠2 , ∠7

Question 18

18.

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

(i)

10
(ii)

9
(iii)

7
(iv)

11
(v)

12

Question 19

19.

Which of the following are true for corresponding angles?

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

(i)

{a,b}
(ii)

{d,c}
(iii)

{e,a,f}
(iv)

{b,c,f}
(v)

{d,b,c}

Question 20

20.

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

(i)

II
(ii)

III
(iii)

I
(iv)

IV

Question 21

21.

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

(i)

18
(ii)

13
(iii)

15
(iv)

14
(v)

16

Question 22

22.

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

(i)

11
(ii)

13
(iii)

10
(iv)

12
(v)

15

Question 23

23.

Find the exterior angles in the given figure

(i)

∠3 , ∠6 ; ∠4 , ∠5
(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)

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

∠1 , ∠2 , ∠7 , ∠8

Question 24

24.

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

(i)

60°
(ii)

55°
(iii)

65°
(iv)

70°
(v)

85°

Question 25

25.

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

(i)

III
(ii)

II
(iii)

I
(iv)

IV

Assignment Key