EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 70° and 63° respectively. Find the measure of the third angle of the triangle

(i)

45°
(ii)

46°
(iii)

49°
(iv)

48°
(v)

47°

Question 2

2.

The angles of a triangle ABC are in the ratio 6 : 3 : 9. Find the measure of each angle of the triangle

(i)

A

=

60°

,

B

=

28°

,

C

=

92°
(ii)

A

=

62°

,

B

=

30°

,

C

=

88°
(iii)

A

=

58°

,

B

=

32°

,

C

=

90°
(iv)

A

=

58°

,

B

=

30°

,

C

=

92°
(v)

A

=

60°

,

B

=

30°

,

C

=

90°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

52.55°
(ii)

x

=

54.55°
(iii)

x

=

53.55°
(iv)

x

=

50.55°
(v)

x

=

51.55°

Question 4

4.

In the given figure, △FGH in which side GH has been produced to I. If ∠HFG = x° , ∠FGH = (7/6a)° , ∠GHF = (5/6a)° and ∠FHI = (13/6a)°, find the values of a and x.

(i)

a

=

58°

,

x

=

58°
(ii)

a

=

59°

,

x

=

59°
(iii)

a

=

60°

,

x

=

60°
(iv)

a

=

62°

,

x

=

62°
(v)

a

=

61°

,

x

=

61°

Question 5

5.

Find the angles of the triangle

(i)

B

=

48°

,

C

=

55°

,

D

=

77°
(ii)

B

=

48°

,

C

=

57°

,

D

=

75°
(iii)

B

=

50°

,

C

=

55°

,

D

=

75°
(iv)

B

=

52°

,

C

=

55°

,

D

=

73°
(v)

B

=

50°

,

C

=

53°

,

D

=

77°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

68°
(ii)

x

=

69°
(iii)

x

=

67°
(iv)

x

=

70°
(v)

x

=

66°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

65.44°
(ii)

x

=

68.44°
(iii)

x

=

64.44°
(iv)

x

=

66.44°
(v)

x

=

67.44°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

37.55°
(ii)

x

=

40.55°
(iii)

x

=

39.55°
(iv)

x

=

41.55°
(v)

x

=

38.55°

Question 9

9.

Find the unknown angles in the following figure

(i)

B

=

41°

,

C

=

41°
(ii)

B

=

44°

,

C

=

44°
(iii)

B

=

45°

,

C

=

45°
(iv)

B

=

42°

,

C

=

42°
(v)

B

=

43°

,

C

=

43°

Question 10

10.

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

(i)

B

=

58°

,

C

=

45°

,

D

=

77°
(ii)

B

=

60°

,

C

=

43°

,

D

=

77°
(iii)

B

=

60°

,

C

=

45°

,

D

=

75°
(iv)

B

=

62°

,

C

=

45°

,

D

=

73°
(v)

B

=

58°

,

C

=

47°

,

D

=

75°

Question 11

11.

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

(i)

G

=

62°

,

H

=

45°

,

I

=

73°
(ii)

G

=

58°

,

H

=

47°

,

I

=

75°
(iii)

G

=

60°

,

H

=

45°

,

I

=

75°
(iv)

G

=

58°

,

H

=

45°

,

I

=

77°
(v)

G

=

60°

,

H

=

43°

,

I

=

77°

Question 12

12.

In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.

(i)

x

=

34°

,

y

=

65°

,

z

=

81°
(ii)

x

=

38°

,

y

=

63°

,

z

=

79°
(iii)

x

=

36°

,

y

=

61°

,

z

=

83°
(iv)

x

=

34°

,

y

=

63°

,

z

=

83°
(v)

x

=

36°

,

y

=

63°

,

z

=

81°

Question 13

13.

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

(i)

x

=

30°

,

y

=

95°
(ii)

x

=

28°

,

y

=

93°
(iii)

x

=

31°

,

y

=

96°
(iv)

x

=

29°

,

y

=

94°
(v)

x

=

32°

,

y

=

97°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

37.8°
(ii)

x

=

33.8°
(iii)

x

=

35.8°
(iv)

x

=

34.8°
(v)

x

=

36.8°

Question 15

15.

In the given triangle, ∠A = 62.16°. Find the measure of ∠B and ∠C

(i)

∠B = ∠C = 57.92°
(ii)

∠B = ∠C = 59.92°
(iii)

∠B = ∠C = 56.92°
(iv)

∠B = ∠C = 60.92°
(v)

∠B = ∠C = 58.92°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

49.12°
(ii)

x

=

47.12°
(iii)

x

=

48.12°
(iv)

x

=

50.12°
(v)

x

=

51.12°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

90°
(ii)

x

=

88°
(iii)

x

=

89°
(iv)

x

=

91°
(v)

x

=

92°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

137°
(ii)

x

=

136°
(iii)

x

=

133°
(iv)

x

=

135°
(v)

x

=

134°

Question 19

19.

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

(i)

D

=

63°
(ii)

D

=

67°
(iii)

D

=

66°
(iv)

D

=

65°
(v)

D

=

64°

Question 20

20.

In △FGH, if ∠F = 40° and ∠G = ∠H, find the measure of each of the equal angles of the triangle

(i)

71°
(ii)

70°
(iii)

68°
(iv)

69°
(v)

72°

Question 21

21.

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

(i)

B

=

46°

,

C

=

76°
(ii)

B

=

45°

,

C

=

75°
(iii)

B

=

43°

,

C

=

73°
(iv)

B

=

47°

,

C

=

77°
(v)

B

=

44°

,

C

=

74°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 2 : 7. Find these angles.

(i)

A

=

20°

,

C

=

70°
(ii)

A

=

19°

,

C

=

69°
(iii)

A

=

22°

,

C

=

72°
(iv)

A

=

18°

,

C

=

68°
(v)

A

=

21°

,

C

=

71°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 48°. Find the measure of each angle of the triangle.

(i)

A

=

46°

,

B

=

48°

,

C

=

86°
(ii)

A

=

50°

,

B

=

48°

,

C

=

82°
(iii)

A

=

48°

,

B

=

46°

,

C

=

86°
(iv)

A

=

48°

,

B

=

48°

,

C

=

84°
(v)

A

=

46°

,

B

=

50°

,

C

=

84°

Question 24

24.

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

(i)

44°
(ii)

47°
(iii)

43°
(iv)

46°
(v)

45°

Question 25

25.

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

(i)

62°
(ii)

61°
(iii)

59°
(iv)

60°
(v)

58°

Question 26

26.

In a right-angled triangle if one of the acute angles is 46°, find the measure of the other acute angle.

(i)

46°
(ii)

44°
(iii)

43°
(iv)

42°
(v)

45°

Question 27

27.

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

(i)

A

=

122°

,

B

=

30°

,

C

=

28°
(ii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iii)

A

=

118°

,

B

=

32°

,

C

=

30°
(iv)

A

=

120°

,

B

=

28°

,

C

=

32°
(v)

A

=

120°

,

B

=

30°

,

C

=

30°

Question 28

28.

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

(i)

A

=

18°

,

B

=

82°

,

C

=

80°
(ii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iii)

A

=

20°

,

B

=

80°

,

C

=

80°
(iv)

A

=

22°

,

B

=

80°

,

C

=

78°
(v)

A

=

18°

,

B

=

80°

,

C

=

82°

Question 29

29.

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

=

68°

,

B

=

55°

,

C

=

57°
(iii)

A

=

70°

,

B

=

53°

,

C

=

57°
(iv)

A

=

72°

,

B

=

55°

,

C

=

53°
(v)

A

=

68°

,

B

=

57°

,

C

=

55°

Question 30

30.

In the given figure, find ∠JKI

(i)

70°
(ii)

71°
(iii)

72°
(iv)

73°
(v)

74°

Question 31

31.

In the given figure, find ∠JHI

(i)

129°
(ii)

130°
(iii)

126°
(iv)

127°
(v)

128°

Question 32

32.

In the given figure, find ∠DEC

(i)

49°
(ii)

47°
(iii)

51°
(iv)

48°
(v)

50°

Question 33

33.

In the given figure, find ∠IML

(i)

128°
(ii)

127°
(iii)

125°
(iv)

129°
(v)

126°

Question 34

34.

In the given figure , if GD ⟂ EF and ∠DEG = 42.2°, find ∠GDE

(i)

48.80°
(ii)

47.80°
(iii)

45.80°
(iv)

46.80°
(v)

49.80°

Question 35

35.

In the given figure , if GD ⟂ EF and ∠DEG = 57.99°, find ∠FDG

(i)

18.56°
(ii)

21.56°
(iii)

19.56°
(iv)

20.56°
(v)

22.56°

Question 36

36.

In the given figure , if IF ⟂ GH and ∠FGI = 42.2°, find ∠IHF

(i)

55.50°
(ii)

54.50°
(iii)

57.50°
(iv)

56.50°
(v)

58.50°

Question 37

37.

In below given figure, find ∠ADC

(i)

133.72°
(ii)

134.72°
(iii)

135.72°
(iv)

132.72°
(v)

131.72°

Question 38

38.

In below given figure, find ∠GDE

(i)

65.11°
(ii)

68.11°
(iii)

66.11°
(iv)

64.11°
(v)

67.11°

Question 39

39.

In below given figure, find ∠FDH

(i)

103.49°
(ii)

104.49°
(iii)

105.49°
(iv)

102.49°
(v)

101.49°

Question 40

40.

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

(i)

x

=

36.06°

,

y

=

62.74°
(ii)

x

=

33.06°

,

y

=

59.74°
(iii)

x

=

34.06°

,

y

=

60.74°
(iv)

x

=

37.06°

,

y

=

63.74°
(v)

x

=

35.06°

,

y

=

61.74°

Question 41

41.

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

(i)

X

=

43°

,

Y

=

92°

,

Z

=

45°
(ii)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(iii)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(iv)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(v)

X

=

43°

,

Y

=

90°

,

Z

=

47°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

28.5°
(ii)

x

=

29.5°
(iii)

x

=

27.5°
(iv)

x

=

25.5°
(v)

x

=

26.5°

Question 43

43.

In the given figure, if CA = CD = DB, find the value of x

(i)

x

=

34°
(ii)

x

=

35°
(iii)

x

=

36°
(iv)

x

=

37°
(v)

x

=

38°

Question 44

44.

In the given figure, if LI = JL and IM = MK , find the value of x.

(i)

x

=

59.94°
(ii)

x

=

58.94°
(iii)

x

=

60.94°
(iv)

x

=

62.94°
(v)

x

=

61.94°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

49°
(ii)

x

=

116°

,

y

=

51°
(iii)

x

=

115°

,

y

=

50°
(iv)

x

=

113°

,

y

=

48°
(v)

x

=

117°

,

y

=

52°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

114°
(ii)

x

=

115°

,

y

=

115°
(iii)

x

=

112°

,

y

=

112°
(iv)

x

=

111°

,

y

=

111°
(v)

x

=

113°

,

y

=

113°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

106°

,

y

=

152°
(ii)

x

=

108°

,

y

=

154°
(iii)

x

=

109°

,

y

=

155°
(iv)

x

=

107°

,

y

=

153°
(v)

x

=

110°

,

y

=

156°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

91°

,

y

=

117°
(ii)

x

=

87°

,

y

=

113°
(iii)

x

=

89°

,

y

=

115°
(iv)

x

=

88°

,

y

=

114°
(v)

x

=

90°

,

y

=

116°

Assignment Key