EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 65° and 56° respectively. Find the measure of the third angle of the triangle

(i)

60°
(ii)

58°
(iii)

59°
(iv)

57°
(v)

61°

Question 2

2.

The angles of a triangle ABC are in the ratio 3 : 2 : 4. Find the measure of each angle of the triangle

(i)

A

=

62°

,

B

=

40°

,

C

=

78°
(ii)

A

=

58°

,

B

=

40°

,

C

=

82°
(iii)

A

=

60°

,

B

=

38°

,

C

=

82°
(iv)

A

=

60°

,

B

=

40°

,

C

=

80°
(v)

A

=

58°

,

B

=

42°

,

C

=

80°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

72.28°
(ii)

x

=

68.28°
(iii)

x

=

71.28°
(iv)

x

=

69.28°
(v)

x

=

70.28°

Question 4

4.

In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (1a)° , ∠IJH = (2/3a)° and ∠HJK = (7/3a)°, find the values of a and x.

(i)

a

=

58°

,

x

=

78°
(ii)

a

=

59°

,

x

=

79°
(iii)

a

=

62°

,

x

=

82°
(iv)

a

=

61°

,

x

=

81°
(v)

a

=

60°

,

x

=

80°

Question 5

5.

Find the angles of the triangle

(i)

E

=

52°

,

F

=

45°

,

G

=

83°
(ii)

E

=

54°

,

F

=

43°

,

G

=

83°
(iii)

E

=

56°

,

F

=

45°

,

G

=

79°
(iv)

E

=

52°

,

F

=

47°

,

G

=

81°
(v)

E

=

54°

,

F

=

45°

,

G

=

81°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

63.64°
(ii)

x

=

61.64°
(iii)

x

=

62.64°
(iv)

x

=

64.64°
(v)

x

=

65.64°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

57.66°
(ii)

x

=

55.66°
(iii)

x

=

54.66°
(iv)

x

=

53.66°
(v)

x

=

56.66°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

46.14°
(ii)

x

=

49.14°
(iii)

x

=

47.14°
(iv)

x

=

48.14°
(v)

x

=

45.14°

Question 9

9.

Find the unknown angles in the following figure

(i)

C

=

39°

,

D

=

39°
(ii)

C

=

38°

,

D

=

38°
(iii)

C

=

37°

,

D

=

37°
(iv)

C

=

40°

,

D

=

40°
(v)

C

=

36°

,

D

=

36°

Question 10

10.

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

(i)

G

=

58°

,

H

=

37°

,

I

=

85°
(ii)

G

=

60°

,

H

=

35°

,

I

=

85°
(iii)

G

=

60°

,

H

=

33°

,

I

=

87°
(iv)

G

=

62°

,

H

=

35°

,

I

=

83°
(v)

G

=

58°

,

H

=

35°

,

I

=

87°

Question 11

11.

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

(i)

G

=

60°

,

H

=

45°

,

I

=

75°
(ii)

G

=

58°

,

H

=

45°

,

I

=

77°
(iii)

G

=

62°

,

H

=

45°

,

I

=

73°
(iv)

G

=

58°

,

H

=

47°

,

I

=

75°
(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

=

54°

,

y

=

34°

,

z

=

92°
(ii)

x

=

54°

,

y

=

36°

,

z

=

90°
(iii)

x

=

52°

,

y

=

38°

,

z

=

90°
(iv)

x

=

56°

,

y

=

36°

,

z

=

88°
(v)

x

=

52°

,

y

=

36°

,

z

=

92°

Question 13

13.

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

(i)

x

=

58°

,

y

=

73°
(ii)

x

=

61°

,

y

=

76°
(iii)

x

=

62°

,

y

=

77°
(iv)

x

=

59°

,

y

=

74°
(v)

x

=

60°

,

y

=

75°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

35.1°
(ii)

x

=

37.1°
(iii)

x

=

36.1°
(iv)

x

=

38.1°
(v)

x

=

34.1°

Question 15

15.

In the given triangle, ∠G = 52.34°. Find the measure of ∠H and ∠I

(i)

∠H = ∠I = 64.83°
(ii)

∠H = ∠I = 65.83°
(iii)

∠H = ∠I = 62.83°
(iv)

∠H = ∠I = 61.83°
(v)

∠H = ∠I = 63.83°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

48.19°
(ii)

x

=

49.19°
(iii)

x

=

52.19°
(iv)

x

=

50.19°
(v)

x

=

51.19°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

88°
(ii)

x

=

92°
(iii)

x

=

90°
(iv)

x

=

91°
(v)

x

=

89°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

136°
(iii)

x

=

133°
(iv)

x

=

134°
(v)

x

=

137°

Question 19

19.

In △HIJ, if ∠H = 63° and ∠I = 55°, find the measure of ∠J

(i)

J

=

64°
(ii)

J

=

62°
(iii)

J

=

60°
(iv)

J

=

61°
(v)

J

=

63°

Question 20

20.

In △BCD, if ∠B = 80° and ∠C = ∠D, find the measure of each of the equal angles of the triangle

(i)

48°
(ii)

49°
(iii)

52°
(iv)

50°
(v)

51°

Question 21

21.

One angle of a triangle measures 50° and the other two angles are in the ratio 3 : 10. Find these angles.

(i)

B

=

29°

,

C

=

99°
(ii)

B

=

31°

,

C

=

101°
(iii)

B

=

30°

,

C

=

100°
(iv)

B

=

28°

,

C

=

98°
(v)

B

=

32°

,

C

=

102°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 1 : 8. Find these angles.

(i)

A

=

10°

,

C

=

80°
(ii)

A

=

8°

,

C

=

78°
(iii)

A

=

12°

,

C

=

82°
(iv)

A

=

9°

,

C

=

79°
(v)

A

=

11°

,

C

=

81°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 56°. Find the measure of each angle of the triangle.

(i)

A

=

54°

,

B

=

56°

,

C

=

70°
(ii)

A

=

56°

,

B

=

54°

,

C

=

70°
(iii)

A

=

56°

,

B

=

56°

,

C

=

68°
(iv)

A

=

58°

,

B

=

56°

,

C

=

66°
(v)

A

=

54°

,

B

=

58°

,

C

=

68°

Question 24

24.

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

(i)

46°
(ii)

44°
(iii)

45°
(iv)

43°
(v)

47°

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)

59°
(ii)

60°
(iii)

61°
(iv)

58°
(v)

62°

Question 26

26.

In a right-angled triangle if one of the acute angles is 64°, find the measure of the other acute angle.

(i)

25°
(ii)

28°
(iii)

24°
(iv)

26°
(v)

27°

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

=

120°

,

B

=

30°

,

C

=

30°
(iv)

A

=

118°

,

B

=

32°

,

C

=

30°
(v)

A

=

120°

,

B

=

28°

,

C

=

32°

Question 28

28.

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

(i)

A

=

22°

,

B

=

80°

,

C

=

78°
(ii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iv)

A

=

20°

,

B

=

80°

,

C

=

80°
(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 13 : 10. Find each angle of the triangle

(i)

A

=

50°

,

B

=

63°

,

C

=

67°
(ii)

A

=

48°

,

B

=

67°

,

C

=

65°
(iii)

A

=

50°

,

B

=

65°

,

C

=

65°
(iv)

A

=

48°

,

B

=

65°

,

C

=

67°
(v)

A

=

52°

,

B

=

65°

,

C

=

63°

Question 30

30.

In the given figure, find ∠CDB

(i)

78°
(ii)

79°
(iii)

80°
(iv)

77°
(v)

81°

Question 31

31.

In the given figure, find ∠ECD

(i)

107°
(ii)

105°
(iii)

104°
(iv)

106°
(v)

103°

Question 32

32.

In the given figure, find ∠MNL

(i)

35°
(ii)

33°
(iii)

36°
(iv)

37°
(v)

34°

Question 33

33.

In the given figure, find ∠DHG

(i)

148°
(ii)

152°
(iii)

150°
(iv)

149°
(v)

151°

Question 34

34.

In the given figure , if JG ⟂ HI and ∠GHJ = 57.99°, find ∠JGH

(i)

30.01°
(ii)

31.01°
(iii)

32.01°
(iv)

33.01°
(v)

34.01°

Question 35

35.

In the given figure , if KH ⟂ IJ and ∠HIK = 53.94°, find ∠JHK

(i)

24.60°
(ii)

21.60°
(iii)

25.60°
(iv)

23.60°
(v)

22.60°

Question 36

36.

In the given figure , if IF ⟂ GH and ∠FGI = 42.82°, find ∠IHF

(i)

55.08°
(ii)

58.08°
(iii)

59.08°
(iv)

56.08°
(v)

57.08°

Question 37

37.

In below given figure, find ∠BED

(i)

127.03°
(ii)

125.03°
(iii)

126.03°
(iv)

129.03°
(v)

128.03°

Question 38

38.

In below given figure, find ∠NKL

(i)

80.70°
(ii)

81.70°
(iii)

82.70°
(iv)

78.70°
(v)

79.70°

Question 39

39.

In below given figure, find ∠DBF

(i)

107.14°
(ii)

108.14°
(iii)

105.14°
(iv)

106.14°
(v)

104.14°

Question 40

40.

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

(i)

x

=

24.02°

,

y

=

93.29°
(ii)

x

=

21.02°

,

y

=

90.29°
(iii)

x

=

25.02°

,

y

=

94.29°
(iv)

x

=

23.02°

,

y

=

92.29°
(v)

x

=

22.02°

,

y

=

91.29°

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

=

45°

,

Y

=

88°

,

Z

=

47°
(ii)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(iii)

X

=

43°

,

Y

=

92°

,

Z

=

45°
(iv)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(v)

X

=

45°

,

Y

=

90°

,

Z

=

45°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

26°
(ii)

x

=

25°
(iii)

x

=

27°
(iv)

x

=

23°
(v)

x

=

24°

Question 43

43.

In the given figure, if JH = JK = KI, find the value of x

(i)

x

=

39°
(ii)

x

=

38°
(iii)

x

=

42°
(iv)

x

=

41°
(v)

x

=

40°

Question 44

44.

In the given figure, if HE = FH and EI = IG , find the value of x.

(i)

x

=

54.44°
(ii)

x

=

52.44°
(iii)

x

=

53.44°
(iv)

x

=

55.44°
(v)

x

=

56.44°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

117°

,

y

=

52°
(ii)

x

=

114°

,

y

=

49°
(iii)

x

=

115°

,

y

=

50°
(iv)

x

=

116°

,

y

=

51°
(v)

x

=

113°

,

y

=

48°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

107°

,

y

=

107°
(ii)

x

=

108°

,

y

=

108°
(iii)

x

=

106°

,

y

=

106°
(iv)

x

=

109°

,

y

=

109°
(v)

x

=

105°

,

y

=

105°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

107°

,

y

=

148°
(ii)

x

=

109°

,

y

=

150°
(iii)

x

=

108°

,

y

=

149°
(iv)

x

=

110°

,

y

=

151°
(v)

x

=

106°

,

y

=

147°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

88°

,

y

=

114°
(ii)

x

=

87°

,

y

=

113°
(iii)

x

=

90°

,

y

=

116°
(iv)

x

=

91°

,

y

=

117°
(v)

x

=

89°

,

y

=

115°

Assignment Key