EduSahara™ Worksheet

Question 1

1.

In △JKL, if ∠J = 50° and ∠K = 52°, find the measure of ∠L

(i)

L

=

79°
(ii)

L

=

76°
(iii)

L

=

78°
(iv)

L

=

77°
(v)

L

=

80°

Question 2

2.

In the given figure, calculate the value of x.

(i)

x

=

21.5°
(ii)

x

=

24.5°
(iii)

x

=

20.5°
(iv)

x

=

22.5°
(v)

x

=

23.5°

Question 3

3.

Which of the following are measures of a scalene triangle ?

(i)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(ii)

∠O = 71.38° , ∠P = 54.31° , ∠Q = 54.31°
(iii)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(iv)

∠O = 50.06° , ∠P = 64.97° , ∠Q = 64.97°
(v)

∠O = 78.46° , ∠P = 57.12° , ∠Q = 44.42°

Question 4

4.

The point of intersection of the bisectors of the interior angles of a triangle is called

(i)

excentre
(ii)

incentre
(iii)

orthocentre
(iv)

circumcentre
(v)

median

Question 5

5.

Which of the following are measures of an isosceles triangle ?

(i)

IJ = 11 cm , JK = 14 cm , KI = 17.8 cm
(ii)

IJ = 10 cm , JK = 11 cm , KI = 12 cm
(iii)

IJ = 10 cm , JK = 10 cm , KI = 10 cm
(iv)

IJ = 12 cm , JK = 13 cm , KI = 12 cm
(v)

IJ = 12 cm , JK = 15 cm , KI = 10 cm

Question 6

6.

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

(i)

LM = 10 cm , MN = 10 cm , NL = 12 cm
(ii)

LM = 12 cm , MN = 15 cm , NL = 19.21 cm
(iii)

LM = 15 cm , MN = 22 cm , NL = 15 cm
(iv)

LM = 12 cm , MN = 12 cm , NL = 16.97 cm
(v)

LM = 10 cm , MN = 11 cm , NL = 10 cm

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

∠K = 60° , ∠L = 60° , ∠M = 60°
(ii)

∠K = 80.25° , ∠L = 41.08° , ∠M = 58.67°
(iii)

∠K = 45° , ∠L = 90° , ∠M = 45°
(iv)

∠K = 49.76° , ∠L = 90° , ∠M = 40.24°
(v)

∠K = 97.18° , ∠L = 41.41° , ∠M = 41.41°

Question 8

8.

The vertex opposite to the side
KL

(i)

L
(ii)

MN
(iii)

K
(iv)

M

Question 9

9.

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

(i)

x

=

26.71°

,

y

=

54.72°
(ii)

x

=

24.71°

,

y

=

52.72°
(iii)

x

=

25.71°

,

y

=

53.72°
(iv)

x

=

22.71°

,

y

=

50.72°
(v)

x

=

23.71°

,

y

=

51.72°

Question 10

10.

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

(i)

x

=

36°

,

y

=

36°

,

z

=

76°
(ii)

x

=

36°

,

y

=

38°

,

z

=

74°
(iii)

x

=

34°

,

y

=

40°

,

z

=

74°
(iv)

x

=

38°

,

y

=

38°

,

z

=

72°
(v)

x

=

34°

,

y

=

38°

,

z

=

76°

Question 11

11.

In the given figure, calculate the value of x.

(i)

x

=

24°
(ii)

x

=

25°
(iii)

x

=

21°
(iv)

x

=

23°
(v)

x

=

22°

Question 12

12.

In the given figure, it is given that FE ∥ HG , ∠FHG = 75° and ∠FED = 77°. Find the value of x.

(i)

x

=

30°
(ii)

x

=

26°
(iii)

x

=

28°
(iv)

x

=

29°
(v)

x

=

27°

Question 13

13.

In the given figure, MN ∥ OP, ∠JGN = 58° and GH = IG. Find the measure of x.

(i)

x

=

66°
(ii)

x

=

63°
(iii)

x

=

65°
(iv)

x

=

62°
(v)

x

=

64°

Question 14

14.

The line joining each vertex to the mid-point of the opposite side of a triangle is called

(i)

orthocentre
(ii)

excentre
(iii)

median
(iv)

centroid
(v)

incentre

Question 15

15.

One of the two equal angles of an isosceles triangle measures 44°. Find the measure of each angle of the triangle.

(i)

A

=

44°

,

B

=

44°

,

C

=

92°
(ii)

A

=

42°

,

B

=

46°

,

C

=

92°
(iii)

A

=

42°

,

B

=

44°

,

C

=

94°
(iv)

A

=

46°

,

B

=

44°

,

C

=

90°
(v)

A

=

44°

,

B

=

42°

,

C

=

94°

Question 16

16.

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

(i)

∠L = 128.32° , ∠M = 25.84° , ∠N = 25.84°
(ii)

∠L = 52.43° , ∠M = 90° , ∠N = 37.57°
(iii)

∠L = 43.28° , ∠M = 73.69° , ∠N = 63.03°
(iv)

∠L = 56.63° , ∠M = 66.74° , ∠N = 56.63°
(v)

∠L = 60° , ∠M = 60° , ∠N = 60°

Question 17

17.

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

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

(i)

{b,a}
(ii)

{a,c,d}
(iii)

{e,c}
(iv)

{e,a,c}
(v)

{f,b,d}

Question 18

18.

Two angles of a triangle measure 55° and 63° respectively. Find the measure of the third angle of the triangle

(i)

60°
(ii)

63°
(iii)

64°
(iv)

61°
(v)

62°

Question 19

19.

In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (3a)° , ∠CDB = (5a)° and ∠BDE = (13a)°, find the values of a and x.

(i)

a

=

10°

,

x

=

100°
(ii)

a

=

12°

,

x

=

102°
(iii)

a

=

9°

,

x

=

99°
(iv)

a

=

11°

,

x

=

101°
(v)

a

=

8°

,

x

=

98°

Question 20

20.

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

(i)

FG = 15 cm , GH = 26 cm , HF = 15 cm
(ii)

FG = 14 cm , GH = 10 cm , HF = 17.2 cm
(iii)

FG = 11 cm , GH = 11 cm , HF = 11 cm
(iv)

FG = 11 cm , GH = 10 cm , HF = 12 cm
(v)

FG = 15 cm , GH = 11 cm , HF = 12 cm

Question 21

21.

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

(i)

∠B = 45° , ∠C = 90° , ∠D = 45°
(ii)

∠B = 43.28° , ∠C = 73.69° , ∠D = 63.03°
(iii)

∠B = 55.3° , ∠C = 48.37° , ∠D = 76.33°
(iv)

∠B = 60° , ∠C = 60° , ∠D = 60°
(v)

∠B = 95.74° , ∠C = 50.7° , ∠D = 33.56°

Question 22

22.

In the given figure, find ∠GKJ

(i)

125°
(ii)

121°
(iii)

122°
(iv)

123°
(v)

124°

Question 23

23.

In the given figure, if IG = IJ = JH, find the value of x

(i)

x

=

42°
(ii)

x

=

41°
(iii)

x

=

39°
(iv)

x

=

38°
(v)

x

=

40°

Question 24

24.

The point of intersection of the altitudes of a triangle is called

(i)

median
(ii)

circumcentre
(iii)

orthocentre
(iv)

altitude
(v)

incentre

Question 25

25.

The ratio between the base angle and the vertical angle of an isosceles triangle is 7 : 4. Find each angle of the triangle

(i)

A

=

40°

,

B

=

70°

,

C

=

70°
(ii)

A

=

40°

,

B

=

68°

,

C

=

72°
(iii)

A

=

38°

,

B

=

70°

,

C

=

72°
(iv)

A

=

38°

,

B

=

72°

,

C

=

70°
(v)

A

=

42°

,

B

=

70°

,

C

=

68°

Assignment Key