EduSahara™ Worksheet

Question 1

1.

Find the unknown marked angles in the following figure

(i)

x

=

89°

,

y

=

113°
(ii)

x

=

86°

,

y

=

110°
(iii)

x

=

87°

,

y

=

111°
(iv)

x

=

88°

,

y

=

112°
(v)

x

=

90°

,

y

=

114°

Question 2

2.

In the given figure, △FGH in which side GH has been produced to I. If ∠HFG = x° , ∠FGH = (7/9a)° , ∠GHF = (4/9a)° and ∠FHI = (14/9a)°, find the values of a and x.

(i)

a

=

89°

,

x

=

69°
(ii)

a

=

90°

,

x

=

70°
(iii)

a

=

92°

,

x

=

72°
(iv)

a

=

91°

,

x

=

71°
(v)

a

=

88°

,

x

=

68°

Question 3

3.

Which of the following are measures of a scalene triangle ?

(i)

∠A = 81.08° , ∠B = 49.46° , ∠C = 49.46°
(ii)

∠A = 64.78° , ∠B = 57.61° , ∠C = 57.61°
(iii)

∠A = 57.12° , ∠B = 44.42° , ∠C = 78.46°
(iv)

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 4

4.

The vertex opposite to the side
KI

(i)

J
(ii)

KL
(iii)

M
(iv)

I

Question 5

5.

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

(i)

∠J = 100.50° , ∠K = 63.70° , ∠L = 49.90°
(ii)

∠J = 59.60° , ∠K = 101.50° , ∠L = 74.20°
(iii)

∠J = 116.10° , ∠K = 79.40° , ∠L = 113.80°
(iv)

∠J = 62.72° , ∠K = 62.72° , ∠L = 54.56°
(v)

∠J = 47.40° , ∠K = 106.60° , ∠L = 51.10°

Question 6

6.

The vertex opposite to the side
PQ

(i)

P
(ii)

RS
(iii)

R
(iv)

Q

Question 7

7.

In the given figure, if GD = EG and DH = HF , find the value of x.

(i)

x

=

58.06°
(ii)

x

=

60.06°
(iii)

x

=

59.06°
(iv)

x

=

57.06°
(v)

x

=

61.06°

Question 8

8.

In a right angled triangle, if one of the angles is 47.29°, find the third angle

(i)

47.71°
(ii)

42.71°
(iii)

57.71°
(iv)

52.71°
(v)

72.71°

Question 9

9.

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

(i)

x

=

19.85°

,

y

=

41.57°
(ii)

x

=

17.85°

,

y

=

39.57°
(iii)

x

=

18.85°

,

y

=

40.57°
(iv)

x

=

21.85°

,

y

=

43.57°
(v)

x

=

20.85°

,

y

=

42.57°

Question 10

10.

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

(i)

H

=

60°

,

I

=

45°

,

J

=

75°
(ii)

H

=

60°

,

I

=

43°

,

J

=

77°
(iii)

H

=

58°

,

I

=

45°

,

J

=

77°
(iv)

H

=

62°

,

I

=

45°

,

J

=

73°
(v)

H

=

58°

,

I

=

47°

,

J

=

75°

Question 11

11.

Two angles of a triangle measure 61° and 51° respectively. Find the measure of the third angle of the triangle

(i)

69°
(ii)

68°
(iii)

67°
(iv)

70°
(v)

66°

Question 12

12.

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

(i)

∠L = 64.32° , ∠M = 51.36° , ∠N = 64.32°
(ii)

∠L = 51.34° , ∠M = 90° , ∠N = 38.66°
(iii)

∠L = 127.38° , ∠M = 27.29° , ∠N = 25.33°
(iv)

∠L = 45° , ∠M = 90° , ∠N = 45°
(v)

∠L = 57.2° , ∠M = 65.6° , ∠N = 57.2°

Question 13

13.

Which of the following are measures of an equilateral triangle ?

(i)

DE = 13 cm , EF = 13 cm , FD = 13 cm
(ii)

DE = 14 cm , EF = 14 cm , FD = 19.8 cm
(iii)

DE = 10 cm , EF = 14 cm , FD = 10 cm
(iv)

DE = 14 cm , EF = 13 cm , FD = 19.1 cm
(v)

DE = 13 cm , EF = 15 cm , FD = 11 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 85.46° , ∠B = 52.89° , ∠C = 41.65°
(ii)

∠A = 42.27° , ∠B = 90° , ∠C = 47.73°
(iii)

∠A = 45° , ∠B = 90° , ∠C = 45°
(iv)

∠A = 70.46° , ∠B = 54.77° , ∠C = 54.77°
(v)

∠A = 60° , ∠B = 60° , ∠C = 60°

Question 15

15.

Find the angles of the triangle

(i)

B

=

28°

,

C

=

35°

,

D

=

117°
(ii)

B

=

30°

,

C

=

35°

,

D

=

115°
(iii)

B

=

30°

,

C

=

33°

,

D

=

117°
(iv)

B

=

32°

,

C

=

35°

,

D

=

113°
(v)

B

=

28°

,

C

=

37°

,

D

=

115°

Question 16

16.

The vertices of the triangle are

(i)

N , O , P
(ii)

O , P , Q
(iii)

O , P , R
(iv)

P , Q , R
(v)

N , O , Q

Question 17

17.

Which of the following are measures of a scalene triangle ?

(i)

HI = 14 cm , IJ = 15 cm , JH = 14 cm
(ii)

HI = 12 cm , IJ = 12 cm , JH = 16.97 cm
(iii)

HI = 14 cm , IJ = 13 cm , JH = 11 cm
(iv)

HI = 12 cm , IJ = 15 cm , JH = 12 cm
(v)

HI = 11 cm , IJ = 11 cm , JH = 11 cm

Question 18

18.

Find the unknown angles in the following figure

(i)

C

=

45°

,

D

=

45°
(ii)

C

=

48°

,

D

=

48°
(iii)

C

=

47°

,

D

=

47°
(iv)

C

=

46°

,

D

=

46°
(v)

C

=

49°

,

D

=

49°

Question 19

19.

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

=

88°

,

Z

=

47°
(ii)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(iii)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(iv)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(v)

X

=

43°

,

Y

=

92°

,

Z

=

45°

Question 20

20.

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

(i)

x

=

61°

,

y

=

76°
(ii)

x

=

62°

,

y

=

77°
(iii)

x

=

60°

,

y

=

75°
(iv)

x

=

59°

,

y

=

74°
(v)

x

=

58°

,

y

=

73°

Question 21

21.

One of the two equal angles of an isosceles triangle measures 75°. Find the measure of each angle of the triangle.

(i)

A

=

75°

,

B

=

73°

,

C

=

32°
(ii)

A

=

73°

,

B

=

77°

,

C

=

30°
(iii)

A

=

73°

,

B

=

75°

,

C

=

32°
(iv)

A

=

75°

,

B

=

75°

,

C

=

30°
(v)

A

=

77°

,

B

=

75°

,

C

=

28°

Question 22

22.

Find the unknown marked angles in the following figure

(i)

x

=

106°

,

y

=

106°
(ii)

x

=

104°

,

y

=

104°
(iii)

x

=

108°

,

y

=

108°
(iv)

x

=

107°

,

y

=

107°
(v)

x

=

105°

,

y

=

105°

Question 23

23.

In below given figure, find ∠FDH

(i)

103.03°
(ii)

104.03°
(iii)

101.03°
(iv)

102.03°
(v)

105.03°

Question 24

24.

The vertex opposite to the side
JK

(i)

I
(ii)

J
(iii)

M
(iv)

KL

Question 25

25.

Which of the following are measures of an isosceles triangle ?

(i)

∠O = 65.16° , ∠P = 57.42° , ∠Q = 57.42°
(ii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iii)

∠O = 51.32° , ∠P = 45.21° , ∠Q = 83.47°
(iv)

∠O = 50.19° , ∠P = 90° , ∠Q = 39.81°
(v)

∠O = 73.69° , ∠P = 63.03° , ∠Q = 43.28°

Assignment Key