EduSahara™ Worksheet

Question 1

1.

The angles of a triangle ABC are in the ratio 3 : 2 : 7. Find the measure of each angle of the triangle

(i)

A

=

43°

,

B

=

30°

,

C

=

107°
(ii)

A

=

45°

,

B

=

30°

,

C

=

105°
(iii)

A

=

47°

,

B

=

30°

,

C

=

103°
(iv)

A

=

43°

,

B

=

32°

,

C

=

105°
(v)

A

=

45°

,

B

=

28°

,

C

=

107°

Question 2

2.

In a right angled triangle, if one of the angles is 42.51°, find the third angle

(i)

57.49°
(ii)

62.49°
(iii)

77.49°
(iv)

47.49°
(v)

52.49°

Question 3

3.

Find the angles of the triangle

(i)

C

=

36°

,

D

=

52°

,

E

=

92°
(ii)

C

=

34°

,

D

=

54°

,

E

=

92°
(iii)

C

=

36°

,

D

=

54°

,

E

=

90°
(iv)

C

=

34°

,

D

=

56°

,

E

=

90°
(v)

C

=

38°

,

D

=

54°

,

E

=

88°

Question 4

4.

The side opposite to the vertex
F

(i)

EF
(ii)

DE
(iii)

DH
(iv)

GE
(v)

FD

Question 5

5.

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

(i)

A

=

20°

,

B

=

78°

,

C

=

82°
(ii)

A

=

20°

,

B

=

80°

,

C

=

80°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

18°

,

B

=

82°

,

C

=

80°
(v)

A

=

22°

,

B

=

80°

,

C

=

78°

Question 6

6.

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

(i)

x

=

22.78°

,

y

=

40.28°
(ii)

x

=

24.78°

,

y

=

42.28°
(iii)

x

=

21.78°

,

y

=

39.28°
(iv)

x

=

23.78°

,

y

=

41.28°
(v)

x

=

25.78°

,

y

=

43.28°

Question 7

7.

In the given figure, find ∠FGE

(i)

57°
(ii)

56°
(iii)

59°
(iv)

58°
(v)

55°

Question 8

8.

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

(i)

DE = 11 cm , EF = 14 cm , FD = 12 cm
(ii)

DE = 10 cm , EF = 16 cm , FD = 10 cm
(iii)

DE = 10 cm , EF = 11 cm , FD = 14.87 cm
(iv)

DE = 15 cm , EF = 15 cm , FD = 15 cm
(v)

DE = 15 cm , EF = 12 cm , FD = 11 cm

Question 9

9.

Find the unknown marked angles in the following figure

(i)

x

=

104°

,

y

=

30°
(ii)

x

=

107°

,

y

=

33°
(iii)

x

=

106°

,

y

=

32°
(iv)

x

=

108°

,

y

=

34°
(v)

x

=

105°

,

y

=

31°

Question 10

10.

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

(i)

IJ = 6 cm , JK = 15 cm , KI = 8 cm
(ii)

IJ = 18 cm , JK = 5 cm , KI = 5 cm
(iii)

IJ = 10 cm , JK = 15 cm , KI = 13 cm
(iv)

IJ = 10 cm , JK = 20 cm , KI = 8 cm
(v)

IJ = 5 cm , JK = 5 cm , KI = 19 cm

Question 11

11.

Which of the following are measures of an isosceles triangle ?

(i)

∠J = 65.16° , ∠K = 57.42° , ∠L = 57.42°
(ii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iii)

∠J = 40.6° , ∠K = 90° , ∠L = 49.4°
(iv)

∠J = 55.3° , ∠K = 76.33° , ∠L = 48.37°
(v)

∠J = 73.69° , ∠K = 63.03° , ∠L = 43.28°

Question 12

12.

In the given figure, if FC = DF and CG = GE , find the value of x.

(i)

x

=

62°
(ii)

x

=

60°
(iii)

x

=

63°
(iv)

x

=

61°
(v)

x

=

64°

Question 13

13.

Find the unknown angle in the following figure

(i)

x

=

47°
(ii)

x

=

44°
(iii)

x

=

43°
(iv)

x

=

46°
(v)

x

=

45°

Question 14

14.

One angle of a triangle measures 60° and the other two angles are in the ratio 3 : 5. Find these angles.

(i)

B

=

45°

,

C

=

75°
(ii)

B

=

44°

,

C

=

74°
(iii)

B

=

47°

,

C

=

77°
(iv)

B

=

43°

,

C

=

73°
(v)

B

=

46°

,

C

=

76°

Question 15

15.

In a right-angled triangle, the two acute angles are in the ratio 4 : 5. Find these angles.

(i)

A

=

42°

,

C

=

52°
(ii)

A

=

38°

,

C

=

48°
(iii)

A

=

41°

,

C

=

51°
(iv)

A

=

39°

,

C

=

49°
(v)

A

=

40°

,

C

=

50°

Question 16

16.

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

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

(i)

{c,d,e}
(ii)

{f,a,e}
(iii)

{a,c}
(iv)

{b,c,d}
(v)

{b,d}

Question 17

17.

Which of the following are measures of an isosceles triangle ?

(i)

CD = 15 cm , DE = 15 cm , EC = 15 cm
(ii)

CD = 13 cm , DE = 15 cm , EC = 19.85 cm
(iii)

CD = 12 cm , DE = 14 cm , EC = 12 cm
(iv)

CD = 13 cm , DE = 12 cm , EC = 14 cm

Question 18

18.

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

(i)

∠E = 69.51° , ∠F = 59.17° , ∠G = 51.32°
(ii)

∠E = 61.80° , ∠F = 54.30° , ∠G = 114.90°
(iii)

∠E = 45.30° , ∠F = 72.30° , ∠G = 52.70°
(iv)

∠E = 107.20° , ∠F = 45.50° , ∠G = 38.10°
(v)

∠E = 32.50° , ∠F = 88.40° , ∠G = 32.10°

Question 19

19.

In the given figure, find ∠OMN

(i)

127°
(ii)

131°
(iii)

130°
(iv)

129°
(v)

128°

Question 20

20.

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

a)	∠G = ∠H
b)	∠I = ∠G
c)	∠I ≠ ∠G
d)	∠G ≠ ∠H
e)	∠H ≠ ∠I
f)	∠H = ∠I

(i)

{e,a,f}
(ii)

{b,c,d}
(iii)

{a,c}
(iv)

{c,d,f}
(v)

{b,d}

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 49.32° , ∠B = 55.83° , ∠C = 74.85°
(ii)

∠A = 38.94° , ∠B = 70.53° , ∠C = 70.53°
(iii)

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

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 22

22.

The vertex opposite to the side
DB

(i)

DE
(ii)

C
(iii)

F
(iv)

B

Question 23

23.

The side opposite to the vertex
L

(i)

NL
(ii)

KL
(iii)

MK
(iv)

KO
(v)

LM

Question 24

24.

In a right angled triangle, if one of the angles is 38.66°, find the third angle

(i)

51.34°
(ii)

61.34°
(iii)

81.34°
(iv)

66.34°
(v)

56.34°

Question 25

25.

Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle

(i)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(ii)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(iii)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(iv)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(v)

X

=

43°

,

Y

=

92°

,

Z

=

45°

Assignment Key