EduSahara™ Worksheet

Question 1

1.

In the following figure, one side of a triangle has been produced. Find the values of x and y.

(i)

x

=

59°

,

y

=

74°
(ii)

x

=

61°

,

y

=

76°
(iii)

x

=

60°

,

y

=

75°
(iv)

x

=

62°

,

y

=

77°
(v)

x

=

58°

,

y

=

73°

Question 2

2.

Consider the following figure
⟷

ZI
.
State which of the following statements are true?

a)

Z,I are points on the line segment

KL

b)

Z,I are end points of line segment

KL

c)

Z,K,X,I,L are points on the line

⟷

ZI

d)

X,L are end points of line segment

LZ

e)

Z,I are end points of line segment

ZI

(i)

{c,e}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{a,c}
(v)

{b,e}

Question 3

3.

Which of the following is a zero angle?

(i)

285°
(ii)

0°
(iii)

360°
(iv)

169°
(v)

35°

Question 4

4.

Find the adjacent angles in the given figure

(i)

∠1 , ∠2 , ∠7 , ∠8
(ii)

∠3 , ∠5 ; ∠4 , ∠6
(iii)

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

∠3 , ∠6 ; ∠4 , ∠5
(v)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8

Question 5

5.

The following angle represents

(i)

right angle
(ii)

reflex angle
(iii)

acute angle
(iv)

obtuse angle
(v)

zero angle

Question 6

6.

Which of the following figures represent an angle?

(i)

fig 2
(ii)

fig 3
(iii)

fig 4
(iv)

fig 5
(v)

fig 1

Question 7

7.

(i)

19.60 cm
(ii)

20.60 cm
(iii)

16.60 cm
(iv)

18.60 cm
(v)

17.60 cm

Question 8

8.

Find the interior angles in the given figure

(i)

∠3 , ∠5 ; ∠4 , ∠6
(ii)

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

∠1 , ∠2 , ∠7 , ∠8
(iv)

∠3 , ∠4 , ∠5 , ∠6
(v)

∠1 , ∠8 ; ∠2 , ∠7

Question 9

9.

Two lines meeting at a point and making an angle of 90° at the meeting point are called

(i)

parallel lines
(ii)

coplanar lines
(iii)

intersecting lines
(iv)

perpendicular lines
(v)

concurrent lines

Question 10

10.

In the given figure, calculate the value of x.

(i)

x

=

68.15°
(ii)

x

=

70.15°
(iii)

x

=

66.15°
(iv)

x

=

69.15°
(v)

x

=

67.15°

Question 11

11.

Two angles of a triangle measure 61° and 58° respectively. Find the measure of the third angle of the triangle

(i)

62°
(ii)

61°
(iii)

60°
(iv)

63°
(v)

59°

Question 12

12.

In the given figure, find ∠DEC

(i)

61°
(ii)

62°
(iii)

63°
(iv)

59°
(v)

60°

Question 13

13.

Find the angles of the triangle

(i)

F

=

58°

,

G

=

47°

,

H

=

75°
(ii)

F

=

58°

,

G

=

45°

,

H

=

77°
(iii)

F

=

62°

,

G

=

45°

,

H

=

73°
(iv)

F

=

60°

,

G

=

43°

,

H

=

77°
(v)

F

=

60°

,

G

=

45°

,

H

=

75°

Question 14

14.

Find the unknown angles in the following figure

(i)

D

=

54°

,

E

=

54°
(ii)

D

=

58°

,

E

=

58°
(iii)

D

=

56°

,

E

=

56°
(iv)

D

=

55°

,

E

=

55°
(v)

D

=

57°

,

E

=

57°

Question 15

15.

The following angle represents

(i)

obtuse angle
(ii)

zero angle
(iii)

acute angle
(iv)

complete angle
(v)

reflex angle

Question 16

16.

Find the exterior angles in the given figure

(i)

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

∠1 , ∠2 , ∠7 , ∠8
(iii)

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

∠1 , ∠8 ; ∠2 , ∠7
(v)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7

Question 17

17.

In the given figure, calculate the value of x.

(i)

x

=

27°
(ii)

x

=

26°
(iii)

x

=

24°
(iv)

x

=

25°
(v)

x

=

23°

Question 18

18.

Calculate the value of x in the following figure

(i)

x

=

68.2°
(ii)

x

=

69.2°
(iii)

x

=

71.2°
(iv)

x

=

72.2°
(v)

x

=

70.2°

Question 19

19.

Find the value of 'f' in the following figure

(i)

125°
(ii)

135°
(iii)

150°
(iv)

130°
(v)

120°

Question 20

20.

In below given figure, find ∠HFJ

(i)

102.06°
(ii)

105.06°
(iii)

106.06°
(iv)

104.06°
(v)

103.06°

Question 21

21.

In the given figure, △GHI in which side HI has been produced to J. If ∠IGH = x° , ∠GHI = (1/2a)° , ∠HIG = (1/4a)° and ∠GIJ = (5/4a)°, find the values of a and x.

(i)

a

=

122°

,

x

=

92°
(ii)

a

=

120°

,

x

=

90°
(iii)

a

=

119°

,

x

=

89°
(iv)

a

=

121°

,

x

=

91°
(v)

a

=

118°

,

x

=

88°

Question 22

22.

In the given figure , if LI ⟂ JK and ∠IJL = 39.58°, find ∠KIL

(i)

35.97°
(ii)

33.97°
(iii)

34.97°
(iv)

36.97°
(v)

37.97°

Question 23

23.

The complementary angle of
36°
is

(i)

64°
(ii)

54°
(iii)

84°
(iv)

59°
(v)

69°

Question 24

24.

In the given figure, find the values of x and y

(i)

x

=

66.7°

,

y

=

48.84°
(ii)

x

=

64.7°

,

y

=

46.84°
(iii)

x

=

63.7°

,

y

=

45.84°
(iv)

x

=

67.7°

,

y

=

49.84°
(v)

x

=

65.7°

,

y

=

47.84°

Question 25

25.

A line that intersects two lines at two different points is called

(i)

parallel lines
(ii)

concurrent lines
(iii)

coplanar lines
(iv)

transversal
(v)

perpendicular lines

Assignment Key