EduSahara™ Worksheet

Question 1

1.

Which of the following are measures of an isosceles triangle ?

(i)

NO = 14 cm , OP = 11 cm , PN = 14 cm
(ii)

NO = 14 cm , OP = 10 cm , PN = 11 cm
(iii)

NO = 13 cm , OP = 13 cm , PN = 13 cm
(iv)

NO = 15 cm , OP = 12 cm , PN = 10 cm
(v)

NO = 14 cm , OP = 15 cm , PN = 20.52 cm

Question 2

2.

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

(i)

∠L = 95.52° , ∠M = 40.31° , ∠N = 44.17°
(ii)

∠L = 60° , ∠M = 60° , ∠N = 60°
(iii)

∠L = 70.53° , ∠M = 38.94° , ∠N = 70.53°
(iv)

∠L = 57.12° , ∠M = 78.46° , ∠N = 44.42°
(v)

∠L = 45° , ∠M = 90° , ∠N = 45°

Question 3

3.

Calculate the value of x in the following figure

(i)

x

=

82.58°
(ii)

x

=

85.58°
(iii)

x

=

86.58°
(iv)

x

=

84.58°
(v)

x

=

83.58°

Question 4

4.

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

(i)

x

=

21°

,

y

=

101°
(ii)

x

=

19°

,

y

=

99°
(iii)

x

=

22°

,

y

=

102°
(iv)

x

=

20°

,

y

=

100°
(v)

x

=

18°

,

y

=

98°

Question 5

5.

Find the measure of each of the two equal angles of an isosceles right-angled triangle.

(i)

46°
(ii)

44°
(iii)

43°
(iv)

45°
(v)

47°

Question 6

6.

The angles of a triangle ABC are in the ratio 8 : 12 : 25. Find the measure of each angle of the triangle

(i)

A

=

32°

,

B

=

48°

,

C

=

100°
(ii)

A

=

32°

,

B

=

46°

,

C

=

102°
(iii)

A

=

30°

,

B

=

50°

,

C

=

100°
(iv)

A

=

34°

,

B

=

48°

,

C

=

98°
(v)

A

=

30°

,

B

=

48°

,

C

=

102°

Question 7

7.

In the given figure, OP ∥ QR, ∠LIP = 60° and IJ = KI. Find the measure of x.

(i)

x

=

62°
(ii)

x

=

60°
(iii)

x

=

58°
(iv)

x

=

59°
(v)

x

=

61°

Question 8

8.

Find the unknown angles in the following figure

(i)

D

=

61°

,

E

=

61°
(ii)

D

=

60°

,

E

=

60°
(iii)

D

=

62°

,

E

=

62°
(iv)

D

=

58°

,

E

=

58°
(v)

D

=

59°

,

E

=

59°

Question 9

9.

In △CDE, if ∠C = 57° and ∠D = 58°, find the measure of ∠E

(i)

E

=

65°
(ii)

E

=

66°
(iii)

E

=

67°
(iv)

E

=

64°
(v)

E

=

63°

Question 10

10.

Find the unknown marked angles in the following figure

(i)

x

=

116°

,

y

=

51°
(ii)

x

=

113°

,

y

=

48°
(iii)

x

=

115°

,

y

=

50°
(iv)

x

=

117°

,

y

=

52°
(v)

x

=

114°

,

y

=

49°

Question 11

11.

Find the angles of the triangle

(i)

B

=

58°

,

C

=

40°

,

D

=

82°
(ii)

B

=

62°

,

C

=

40°

,

D

=

78°
(iii)

B

=

60°

,

C

=

38°

,

D

=

82°
(iv)

B

=

60°

,

C

=

40°

,

D

=

80°
(v)

B

=

58°

,

C

=

42°

,

D

=

80°

Question 12

12.

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

(i)

∠K = 68.68° , ∠L = 59.3° , ∠M = 52.02°
(ii)

∠K = 130.76° , ∠L = 24.62° , ∠M = 24.62°
(iii)

∠K = 49.09° , ∠L = 90° , ∠M = 40.91°
(iv)

∠K = 60° , ∠L = 60° , ∠M = 60°
(v)

∠K = 53.13° , ∠L = 59.49° , ∠M = 67.38°

Question 13

13.

The name of the triangle is

(i)

△JKL
(ii)

△IJL
(iii)

△IJK
(iv)

△HIK
(v)

△HIJ

Question 14

14.

Which of the following are measures of an isosceles triangle ?

(i)

∠O = 35.54° , ∠P = 90° , ∠Q = 54.46°
(ii)

∠O = 66.12° , ∠P = 56.94° , ∠Q = 56.94°
(iii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iv)

∠O = 85.46° , ∠P = 52.89° , ∠Q = 41.65°
(v)

∠O = 68.68° , ∠P = 59.3° , ∠Q = 52.02°

Question 15

15.

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

(i)

NO = 14 cm , OP = 14 cm , PN = 14 cm
(ii)

NO = 15 cm , OP = 13 cm , PN = 10 cm
(iii)

NO = 10 cm , OP = 19 cm , PN = 15 cm
(iv)

NO = 15 cm , OP = 10 cm , PN = 14 cm
(v)

NO = 12 cm , OP = 12 cm , PN = 16.97 cm

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

136°
(iii)

x

=

134°
(iv)

x

=

137°
(v)

x

=

133°

Question 17

17.

The ratio between the base angle and the vertical angle of an isosceles triangle is 11 : 14. Find each angle of the triangle

(i)

A

=

70°

,

B

=

55°

,

C

=

55°
(ii)

A

=

70°

,

B

=

53°

,

C

=

57°
(iii)

A

=

72°

,

B

=

55°

,

C

=

53°
(iv)

A

=

68°

,

B

=

57°

,

C

=

55°
(v)

A

=

68°

,

B

=

55°

,

C

=

57°

Question 18

18.

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

(i)

C

=

45°

,

D

=

50°

,

E

=

85°
(ii)

C

=

43°

,

D

=

50°

,

E

=

87°
(iii)

C

=

43°

,

D

=

52°

,

E

=

85°
(iv)

C

=

45°

,

D

=

48°

,

E

=

87°
(v)

C

=

47°

,

D

=

50°

,

E

=

83°

Question 19

19.

The median corresponding to the side
JK

(i)

IJ
(ii)

JM
(iii)

IM
(iv)

IL
(v)

KN

Question 20

20.

The vertices of the triangle are

(i)

K , L , M
(ii)

L , M , O
(iii)

M , N , O
(iv)

K , L , N
(v)

L , M , N

Question 21

21.

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

(i)

∠J = 110.46° , ∠K = 34.77° , ∠L = 34.77°
(ii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iii)

∠J = 59.17° , ∠K = 69.51° , ∠L = 51.32°
(iv)

∠J = 47.12° , ∠K = 90° , ∠L = 42.88°
(v)

∠J = 78.46° , ∠K = 44.42° , ∠L = 57.12°

Question 22

22.

The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.

(i)

A

=

118°

,

B

=

30°

,

C

=

32°
(ii)

A

=

120°

,

B

=

30°

,

C

=

30°
(iii)

A

=

120°

,

B

=

28°

,

C

=

32°
(iv)

A

=

122°

,

B

=

30°

,

C

=

28°
(v)

A

=

118°

,

B

=

32°

,

C

=

30°

Question 23

23.

In the given triangle, ∠D = 58.1°. Find the measure of ∠E and ∠F

(i)

∠E = ∠F = 60.95°
(ii)

∠E = ∠F = 61.95°
(iii)

∠E = ∠F = 62.95°
(iv)

∠E = ∠F = 58.95°
(v)

∠E = ∠F = 59.95°

Question 24

24.

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

(i)

LM = 13 cm , MN = 19 cm , NL = 10 cm
(ii)

LM = 10 cm , MN = 12 cm , NL = 15 cm
(iii)

LM = 11 cm , MN = 13 cm , NL = 12 cm
(iv)

LM = 13 cm , MN = 11 cm , NL = 17.03 cm
(v)

LM = 14 cm , MN = 14 cm , NL = 14 cm

Question 25

25.

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

(i)

MN = 6 cm , NO = 7 cm , OM = 19 cm
(ii)

MN = 6 cm , NO = 17 cm , OM = 8 cm
(iii)

MN = 6 cm , NO = 13 cm , OM = 6 cm
(iv)

MN = 12 cm , NO = 11 cm , OM = 14 cm

Assignment Key