EduSahara™ Worksheet

Question 1

1.

If all the three angles of a triangle are of the same measure, find the measure of each of the angles.

(i)

61°
(ii)

62°
(iii)

60°
(iv)

59°
(v)

58°

Question 2

2.

Find the measures of the three sides suitable to form a triangle?

(i)

HI = 9 cm , IJ = 8 cm , JH = 20 cm
(ii)

HI = 6 cm , IJ = 19 cm , JH = 8 cm
(iii)

HI = 17 cm , IJ = 7 cm , JH = 8 cm
(iv)

HI = 11 cm , IJ = 13 cm , JH = 15 cm
(v)

HI = 18 cm , IJ = 7 cm , JH = 8 cm

Question 3

3.

In the given figure, if EB = CE and BF = FD , find the value of x.

(i)

x

=

59.94°
(ii)

x

=

60.94°
(iii)

x

=

62.94°
(iv)

x

=

61.94°
(v)

x

=

58.94°

Question 4

4.

Find the unknown marked angles in the following figure

(i)

x

=

111°

,

y

=

111°
(ii)

x

=

113°

,

y

=

113°
(iii)

x

=

115°

,

y

=

115°
(iv)

x

=

114°

,

y

=

114°
(v)

x

=

112°

,

y

=

112°

Question 5

5.

Two angles of a triangle measure 63° and 63° respectively. Find the measure of the third angle of the triangle

(i)

54°
(ii)

56°
(iii)

53°
(iv)

52°
(v)

55°

Question 6

6.

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

(i)

∠C = 114.72° , ∠D = 27.01° , ∠E = 38.27°
(ii)

∠C = 45° , ∠D = 90° , ∠E = 45°
(iii)

∠C = 53.13° , ∠D = 59.49° , ∠E = 67.38°
(iv)

∠C = 62.97° , ∠D = 62.96° , ∠E = 54.07°
(v)

∠C = 46.97° , ∠D = 90° , ∠E = 43.03°

Question 7

7.

Find the unknown marked angle in the following figure

(i)

x

=

35.77°
(ii)

x

=

32.77°
(iii)

x

=

34.77°
(iv)

x

=

33.77°
(v)

x

=

36.77°

Question 8

8.

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

(i)

A

=

45°

,

B

=

36°

,

C

=

99°
(ii)

A

=

43°

,

B

=

38°

,

C

=

99°
(iii)

A

=

47°

,

B

=

36°

,

C

=

97°
(iv)

A

=

43°

,

B

=

36°

,

C

=

101°
(v)

A

=

45°

,

B

=

34°

,

C

=

101°

Question 9

9.

In the given figure , if JG ⟂ HI and ∠GHJ = 46.31°, find ∠JGH

(i)

42.69°
(ii)

41.69°
(iii)

43.69°
(iv)

45.69°
(v)

44.69°

Question 10

10.

In the given figure, find ∠NOM

(i)

49°
(ii)

50°
(iii)

52°
(iv)

53°
(v)

51°

Question 11

11.

Find the angles of the triangle

(i)

D

=

34°

,

E

=

54°

,

F

=

92°
(ii)

D

=

36°

,

E

=

52°

,

F

=

92°
(iii)

D

=

36°

,

E

=

54°

,

F

=

90°
(iv)

D

=

34°

,

E

=

56°

,

F

=

90°
(v)

D

=

38°

,

E

=

54°

,

F

=

88°

Question 12

12.

Find the unknown marked angles in the following figure

(i)

x

=

85°

,

y

=

110°
(ii)

x

=

87°

,

y

=

112°
(iii)

x

=

86°

,

y

=

111°
(iv)

x

=

84°

,

y

=

109°
(v)

x

=

88°

,

y

=

113°

Question 13

13.

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

(i)

x

=

60°

,

y

=

75°
(ii)

x

=

62°

,

y

=

77°
(iii)

x

=

61°

,

y

=

76°
(iv)

x

=

59°

,

y

=

74°
(v)

x

=

58°

,

y

=

73°

Question 14

14.

Which of the following are measures of a scalene triangle ?

(i)

∠J = 47.91° , ∠K = 70.81° , ∠L = 61.28°
(ii)

∠J = 45.24° , ∠K = 67.38° , ∠L = 67.38°
(iii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iv)

∠J = 45° , ∠K = 90° , ∠L = 45°
(v)

∠J = 79.04° , ∠K = 50.48° , ∠L = 50.48°

Question 15

15.

The side opposite to the vertex
J

(i)

JH
(ii)

HL
(iii)

KI
(iv)

HI
(v)

IJ

Question 16

16.

Which of the following are measures of an isosceles right angled triangle ?

(i)

∠A = 116.78° , ∠B = 30.3° , ∠C = 32.92°
(ii)

∠A = 67.38° , ∠B = 45.24° , ∠C = 67.38°
(iii)

∠A = 73.62° , ∠B = 56.25° , ∠C = 50.13°
(iv)

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 17

17.

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

a)	∠Q = ∠O
b)	∠O = ∠P
c)	∠P = ∠Q
d)	∠P ≠ ∠Q
e)	∠O ≠ ∠P
f)	∠Q ≠ ∠O

(i)

{f,d,c}
(ii)

{d,a}
(iii)

{e,b}
(iv)

{a,b,c}
(v)

{e,a,b}

Question 18

18.

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

(i)

∠E = 69.98° , ∠F = 48.74° , ∠G = 61.28°
(ii)

∠E = 133.5° , ∠F = 20.3° , ∠G = 26.2°
(iii)

∠E = 60° , ∠F = 60° , ∠G = 60°
(iv)

∠E = 73.62° , ∠F = 56.25° , ∠G = 50.13°
(v)

∠E = 35.54° , ∠F = 90° , ∠G = 54.46°

Question 19

19.

In the given triangle, ∠B = 56.26°. Find the measure of ∠C and ∠D

(i)

∠C = ∠D = 63.87°
(ii)

∠C = ∠D = 61.87°
(iii)

∠C = ∠D = 60.87°
(iv)

∠C = ∠D = 59.87°
(v)

∠C = ∠D = 62.87°

Question 20

20.

Which of the following are measures of an equilateral triangle ?

(i)

AB = 14 cm , BC = 14 cm , CA = 19.8 cm
(ii)

AB = 13 cm , BC = 15 cm , CA = 13 cm
(iii)

AB = 10 cm , BC = 10 cm , CA = 10 cm
(iv)

AB = 12 cm , BC = 14 cm , CA = 18.44 cm
(v)

AB = 11 cm , BC = 14 cm , CA = 12 cm

Question 21

21.

One angle of a triangle measures 36° and the other two angles are in the ratio 5 : 11. Find these angles.

(i)

B

=

45°

,

C

=

99°
(ii)

B

=

44°

,

C

=

98°
(iii)

B

=

46°

,

C

=

100°
(iv)

B

=

47°

,

C

=

101°
(v)

B

=

43°

,

C

=

97°

Question 22

22.

Which of the following are measures of an equilateral triangle ?

(i)

∠E = 54.56° , ∠F = 62.72° , ∠G = 62.72°
(ii)

∠E = 45° , ∠F = 90° , ∠G = 45°
(iii)

∠E = 40.6° , ∠F = 90° , ∠G = 49.4°
(iv)

∠E = 60° , ∠F = 60° , ∠G = 60°
(v)

∠E = 69.51° , ∠F = 59.17° , ∠G = 51.32°

Question 23

23.

The vertex opposite to the side
NO

(i)

P
(ii)

PQ
(iii)

N
(iv)

O

Question 24

24.

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

(i)

x

=

19.63°

,

y

=

62.81°
(ii)

x

=

18.63°

,

y

=

61.81°
(iii)

x

=

21.63°

,

y

=

64.81°
(iv)

x

=

20.63°

,

y

=

63.81°
(v)

x

=

22.63°

,

y

=

65.81°

Question 25

25.

The vertex opposite to the side
ST

(i)

S
(ii)

R
(iii)

TU
(iv)

V

Assignment Key