EduSahara™ Worksheet

Question 1

1.

In the following figure, one side of a triangle has been produced. Find all the angles of the triangle

(i)

F

=

34°

,

G

=

45°

,

H

=

101°
(ii)

F

=

38°

,

G

=

45°

,

H

=

97°
(iii)

F

=

34°

,

G

=

47°

,

H

=

99°
(iv)

F

=

36°

,

G

=

45°

,

H

=

99°
(v)

F

=

36°

,

G

=

43°

,

H

=

101°

Question 2

2.

Which of the following are measures of an isosceles triangle ?

(i)

BC = 14 cm , CD = 14 cm , DB = 14 cm
(ii)

BC = 13 cm , CD = 15 cm , DB = 12 cm
(iii)

BC = 15 cm , CD = 11 cm , DB = 12 cm
(iv)

BC = 15 cm , CD = 13 cm , DB = 19.85 cm
(v)

BC = 11 cm , CD = 12 cm , DB = 11 cm

Question 3

3.

In the given figure, △GHI in which side HI has been produced to J. If ∠IGH = x° , ∠GHI = (1a)° , ∠HIG = (7/3a)° and ∠GIJ = (11/3a)°, find the values of a and x.

(i)

a

=

31°

,

x

=

81°
(ii)

a

=

29°

,

x

=

79°
(iii)

a

=

32°

,

x

=

82°
(iv)

a

=

30°

,

x

=

80°
(v)

a

=

28°

,

x

=

78°

Question 4

4.

In the given figure, find ∠FDE

(i)

100°
(ii)

102°
(iii)

101°
(iv)

103°
(v)

104°

Question 5

5.

In a right angled triangle, if one of the angles is 42.71°, find the third angle

(i)

62.29°
(ii)

47.29°
(iii)

77.29°
(iv)

52.29°
(v)

57.29°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

37.11°
(ii)

x

=

36.11°
(iii)

x

=

38.11°
(iv)

x

=

34.11°
(v)

x

=

35.11°

Question 7

7.

Which of the following are measures of an obtuse angled triangle ?

(i)

∠G = 45° , ∠H = 90° , ∠I = 45°
(ii)

∠G = 119.06° , ∠H = 31.63° , ∠I = 29.31°
(iii)

∠G = 49.32° , ∠H = 55.83° , ∠I = 74.85°
(iv)

∠G = 49.4° , ∠H = 90° , ∠I = 40.6°
(v)

∠G = 44.42° , ∠H = 57.12° , ∠I = 78.46°

Question 8

8.

Consider the following figure. State which of the following statements are true

a)	∠L = ∠M
b)	∠M ≠ ∠K
c)	∠K ≠ ∠L
d)	∠L ≠ ∠M
e)	∠K = ∠L
f)	∠M = ∠K

(i)

{a,e,f}
(ii)

{b,a}
(iii)

{c,e}
(iv)

{d,b,f}
(v)

{c,a,e}

Question 9

9.

Which of the following are measures of a right angled triangle ?

(i)

∠H = 68.68° , ∠I = 52.02° , ∠J = 59.3°
(ii)

∠H = 109.47° , ∠I = 38.94° , ∠J = 31.59°
(iii)

∠H = 60° , ∠I = 60° , ∠J = 60°
(iv)

∠H = 35.54° , ∠I = 90° , ∠J = 54.46°
(v)

∠H = 41.08° , ∠I = 58.67° , ∠J = 80.25°

Question 10

10.

In a right-angled triangle if one of the acute angles is 48°, find the measure of the other acute angle.

(i)

41°
(ii)

44°
(iii)

42°
(iv)

43°
(v)

40°

Question 11

11.

Which of the following are measures of an obtuse angled triangle ?

(i)

∠I = 62.96° , ∠J = 72.62° , ∠K = 44.42°
(ii)

∠I = 40.24° , ∠J = 90° , ∠K = 49.76°
(iii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iv)

∠I = 46.26° , ∠J = 66.87° , ∠K = 66.87°
(v)

∠I = 128.32° , ∠J = 25.84° , ∠K = 25.84°

Question 12

12.

Find the unknown marked angle in the following figure

(i)

x

=

68.2°
(ii)

x

=

65.2°
(iii)

x

=

67.2°
(iv)

x

=

69.2°
(v)

x

=

66.2°

Question 13

13.

Which of the following are measures of an acute angled triangle ?

(i)

∠A = 66.42° , ∠B = 47.16° , ∠C = 66.42°
(ii)

∠A = 45° , ∠B = 90° , ∠C = 45°
(iii)

∠A = 94.41° , ∠B = 49.68° , ∠C = 35.91°
(iv)

∠A = 39.81° , ∠B = 90° , ∠C = 50.19°
(v)

∠A = 126.32° , ∠B = 28.91° , ∠C = 24.77°

Question 14

14.

Find the unknown angle in the following figure

(i)

x

=

47°
(ii)

x

=

44°
(iii)

x

=

46°
(iv)

x

=

43°
(v)

x

=

45°

Question 15

15.

The vertex opposite to the side
HF

(i)

G
(ii)

F
(iii)

J
(iv)

HI

Question 16

16.

In below given figure, find ∠ILK

(i)

112.00°
(ii)

115.00°
(iii)

113.00°
(iv)

111.00°
(v)

114.00°

Question 17

17.

In the given figure , if HE ⟂ FG and ∠EFH = 58.83°, find ∠HEF

(i)

33.17°
(ii)

31.17°
(iii)

30.17°
(iv)

32.17°
(v)

29.17°

Question 18

18.

In the given figure , if LI ⟂ JK and ∠IJL = 53.94°, find ∠LKI

(i)

67.40°
(ii)

66.40°
(iii)

65.40°
(iv)

68.40°
(v)

64.40°

Question 19

19.

Which of the following are measures of a right angled triangle ?

(i)

∠H = 60° , ∠I = 60° , ∠J = 60°
(ii)

∠H = 75.31° , ∠I = 64.53° , ∠J = 40.16°
(iii)

∠H = 38.16° , ∠I = 90° , ∠J = 51.84°
(iv)

∠H = 67.38° , ∠I = 53.13° , ∠J = 59.49°
(v)

∠H = 132.17° , ∠I = 19.69° , ∠J = 28.14°

Question 20

20.

Two angles of a triangle measure 59° and 51° respectively. Find the measure of the third angle of the triangle

(i)

69°
(ii)

70°
(iii)

72°
(iv)

71°
(v)

68°

Question 21

21.

Which of the following are measures of an isosceles triangle ?

(i)

∠H = 66.12° , ∠I = 56.94° , ∠J = 56.94°
(ii)

∠H = 40.16° , ∠I = 75.31° , ∠J = 64.53°
(iii)

∠H = 40.24° , ∠I = 90° , ∠J = 49.76°
(iv)

∠H = 45.57° , ∠I = 57.56° , ∠J = 76.87°
(v)

∠H = 60° , ∠I = 60° , ∠J = 60°

Question 22

22.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

34°
(ii)

x

=

105°

,

y

=

31°
(iii)

x

=

104°

,

y

=

30°
(iv)

x

=

106°

,

y

=

32°
(v)

x

=

107°

,

y

=

33°

Question 23

23.

The vertex opposite to the side
MN

(i)

P
(ii)

L
(iii)

M
(iv)

NO

Question 24

24.

Consider the following figure. State which of the following statements are true

a)

NL
≠
LM

b)

NL
=
LM

c)

LM
=
MN

d)

MN
≠
NL

e)

LM
≠
MN

f)

MN
=
NL

(i)

{c,a,d}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{a,d,e}
(v)

{f,b,e}

Question 25

25.

In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.

(i)

A

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

18°

,

B

=

82°

,

C

=

80°
(v)

A

=

22°

,

B

=

80°

,

C

=

78°

Assignment Key