EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 69° and 51° respectively. Find the measure of the third angle of the triangle

(i)

62°
(ii)

60°
(iii)

58°
(iv)

59°
(v)

61°

Question 2

2.

The angles of a triangle ABC are in the ratio 8 : 14 : 38. Find the measure of each angle of the triangle

(i)

A

=

22°

,

B

=

42°

,

C

=

116°
(ii)

A

=

22°

,

B

=

44°

,

C

=

114°
(iii)

A

=

24°

,

B

=

40°

,

C

=

116°
(iv)

A

=

24°

,

B

=

42°

,

C

=

114°
(v)

A

=

26°

,

B

=

42°

,

C

=

112°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

50.5°
(ii)

x

=

49.5°
(iii)

x

=

51.5°
(iv)

x

=

48.5°
(v)

x

=

52.5°

Question 4

4.

In the given figure, △DEF in which side EF has been produced to G. If ∠FDE = x° , ∠DEF = (3/5a)° , ∠EFD = (1/5a)° and ∠DFG = (1a)°, find the values of a and x.

(i)

a

=

148°

,

x

=

58°
(ii)

a

=

150°

,

x

=

60°
(iii)

a

=

149°

,

x

=

59°
(iv)

a

=

152°

,

x

=

62°
(v)

a

=

151°

,

x

=

61°

Question 5

5.

Find the angles of the triangle

(i)

A

=

34°

,

B

=

63°

,

C

=

83°
(ii)

A

=

34°

,

B

=

65°

,

C

=

81°
(iii)

A

=

36°

,

B

=

63°

,

C

=

81°
(iv)

A

=

38°

,

B

=

63°

,

C

=

79°
(v)

A

=

36°

,

B

=

61°

,

C

=

83°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

88°
(ii)

x

=

92°
(iii)

x

=

91°
(iv)

x

=

90°
(v)

x

=

89°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

49.73°
(ii)

x

=

48.73°
(iii)

x

=

46.73°
(iv)

x

=

47.73°
(v)

x

=

45.73°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

42.3°
(ii)

x

=

41.3°
(iii)

x

=

40.3°
(iv)

x

=

44.3°
(v)

x

=

43.3°

Question 9

9.

Find the unknown angles in the following figure

(i)

A

=

40°

,

B

=

40°
(ii)

A

=

41°

,

B

=

41°
(iii)

A

=

42°

,

B

=

42°
(iv)

A

=

43°

,

B

=

43°
(v)

A

=

39°

,

B

=

39°

Question 10

10.

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

(i)

F

=

62°

,

G

=

45°

,

H

=

73°
(ii)

F

=

60°

,

G

=

45°

,

H

=

75°
(iii)

F

=

58°

,

G

=

47°

,

H

=

75°
(iv)

F

=

58°

,

G

=

45°

,

H

=

77°
(v)

F

=

60°

,

G

=

43°

,

H

=

77°

Question 11

11.

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

(i)

E

=

58°

,

F

=

45°

,

G

=

77°
(ii)

E

=

58°

,

F

=

47°

,

G

=

75°
(iii)

E

=

60°

,

F

=

43°

,

G

=

77°
(iv)

E

=

60°

,

F

=

45°

,

G

=

75°
(v)

E

=

62°

,

F

=

45°

,

G

=

73°

Question 12

12.

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

(i)

x

=

43°

,

y

=

38°

,

z

=

99°
(ii)

x

=

43°

,

y

=

36°

,

z

=

101°
(iii)

x

=

45°

,

y

=

36°

,

z

=

99°
(iv)

x

=

45°

,

y

=

34°

,

z

=

101°
(v)

x

=

47°

,

y

=

36°

,

z

=

97°

Question 13

13.

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

(i)

x

=

62°

,

y

=

77°
(ii)

x

=

60°

,

y

=

75°
(iii)

x

=

61°

,

y

=

76°
(iv)

x

=

59°

,

y

=

74°
(v)

x

=

58°

,

y

=

73°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

59.17°
(ii)

x

=

61.17°
(iii)

x

=

60.17°
(iv)

x

=

62.17°
(v)

x

=

58.17°

Question 15

15.

In the given triangle, ∠G = 56.26°. Find the measure of ∠H and ∠I

(i)

∠H = ∠I = 59.87°
(ii)

∠H = ∠I = 63.87°
(iii)

∠H = ∠I = 61.87°
(iv)

∠H = ∠I = 62.87°
(v)

∠H = ∠I = 60.87°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

71°
(ii)

x

=

74°
(iii)

x

=

72°
(iv)

x

=

73°
(v)

x

=

70°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

90°
(ii)

x

=

91°
(iii)

x

=

89°
(iv)

x

=

92°
(v)

x

=

88°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

133°
(iii)

x

=

134°
(iv)

x

=

136°
(v)

x

=

137°

Question 19

19.

In △JKL, if ∠J = 59° and ∠K = 70°, find the measure of ∠L

(i)

L

=

51°
(ii)

L

=

53°
(iii)

L

=

49°
(iv)

L

=

52°
(v)

L

=

50°

Question 20

20.

In △EFG, if ∠E = 80° and ∠F = ∠G, find the measure of each of the equal angles of the triangle

(i)

52°
(ii)

49°
(iii)

48°
(iv)

51°
(v)

50°

Question 21

21.

One angle of a triangle measures 36° and the other two angles are in the ratio 7 : 9. Find these angles.

(i)

B

=

62°

,

C

=

80°
(ii)

B

=

63°

,

C

=

81°
(iii)

B

=

64°

,

C

=

82°
(iv)

B

=

65°

,

C

=

83°
(v)

B

=

61°

,

C

=

79°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 13 : 5. Find these angles.

(i)

A

=

63°

,

C

=

23°
(ii)

A

=

66°

,

C

=

26°
(iii)

A

=

64°

,

C

=

24°
(iv)

A

=

65°

,

C

=

25°
(v)

A

=

67°

,

C

=

27°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 55°. Find the measure of each angle of the triangle.

(i)

A

=

53°

,

B

=

55°

,

C

=

72°
(ii)

A

=

53°

,

B

=

57°

,

C

=

70°
(iii)

A

=

55°

,

B

=

55°

,

C

=

70°
(iv)

A

=

55°

,

B

=

53°

,

C

=

72°
(v)

A

=

57°

,

B

=

55°

,

C

=

68°

Question 24

24.

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

(i)

46°
(ii)

43°
(iii)

47°
(iv)

45°
(v)

44°

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)

61°
(ii)

59°
(iii)

62°
(iv)

60°
(v)

58°

Question 26

26.

In a right-angled triangle if one of the acute angles is 50°, find the measure of the other acute angle.

(i)

41°
(ii)

42°
(iii)

39°
(iv)

38°
(v)

40°

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

=

120°

,

B

=

30°

,

C

=

30°
(ii)

A

=

122°

,

B

=

30°

,

C

=

28°
(iii)

A

=

118°

,

B

=

32°

,

C

=

30°
(iv)

A

=

120°

,

B

=

28°

,

C

=

32°
(v)

A

=

118°

,

B

=

30°

,

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

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iii)

A

=

18°

,

B

=

82°

,

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 1 : 2. Find each angle of the triangle

(i)

A

=

90°

,

B

=

45°

,

C

=

45°
(ii)

A

=

88°

,

B

=

45°

,

C

=

47°
(iii)

A

=

92°

,

B

=

45°

,

C

=

43°
(iv)

A

=

88°

,

B

=

47°

,

C

=

45°
(v)

A

=

90°

,

B

=

43°

,

C

=

47°

Question 30

30.

In the given figure, find ∠HIG

(i)

80°
(ii)

77°
(iii)

79°
(iv)

81°
(v)

78°

Question 31

31.

In the given figure, find ∠LJK

(i)

116°
(ii)

118°
(iii)

117°
(iv)

119°
(v)

115°

Question 32

32.

In the given figure, find ∠HIG

(i)

25°
(ii)

21°
(iii)

24°
(iv)

23°
(v)

22°

Question 33

33.

In the given figure, find ∠AED

(i)

135°
(ii)

138°
(iii)

136°
(iv)

134°
(v)

137°

Question 34

34.

In the given figure , if LI ⟂ JK and ∠IJL = 50.96°, find ∠LIJ

(i)

37.04°
(ii)

41.04°
(iii)

38.04°
(iv)

40.04°
(v)

39.04°

Question 35

35.

In the given figure , if JG ⟂ HI and ∠GHJ = 47.2°, find ∠IGJ

(i)

30.05°
(ii)

31.05°
(iii)

28.05°
(iv)

27.05°
(v)

29.05°

Question 36

36.

In the given figure , if GD ⟂ EF and ∠DEG = 55.35°, find ∠GFD

(i)

66.47°
(ii)

67.47°
(iii)

69.47°
(iv)

65.47°
(v)

68.47°

Question 37

37.

In below given figure, find ∠ADC

(i)

137.15°
(ii)

136.15°
(iii)

138.15°
(iv)

135.15°
(v)

134.15°

Question 38

38.

In below given figure, find ∠FCD

(i)

76.07°
(ii)

77.07°
(iii)

75.07°
(iv)

78.07°
(v)

79.07°

Question 39

39.

In below given figure, find ∠IGK

(i)

85.09°
(ii)

88.09°
(iii)

87.09°
(iv)

84.09°
(v)

86.09°

Question 40

40.

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

(i)

x

=

23.26°

,

y

=

79.59°
(ii)

x

=

21.26°

,

y

=

77.59°
(iii)

x

=

22.26°

,

y

=

78.59°
(iv)

x

=

20.26°

,

y

=

76.59°
(v)

x

=

19.26°

,

y

=

75.59°

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

=

90°

,

Z

=

47°
(ii)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(iii)

X

=

43°

,

Y

=

92°

,

Z

=

45°
(iv)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(v)

X

=

45°

,

Y

=

88°

,

Z

=

47°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

25.5°
(ii)

x

=

24.5°
(iii)

x

=

27.5°
(iv)

x

=

26.5°
(v)

x

=

23.5°

Question 43

43.

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

(i)

x

=

23°
(ii)

x

=

22°
(iii)

x

=

25°
(iv)

x

=

24°
(v)

x

=

26°

Question 44

44.

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

(i)

x

=

64°
(ii)

x

=

66°
(iii)

x

=

65°
(iv)

x

=

63°
(v)

x

=

62°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

109°

,

y

=

40°
(ii)

x

=

111°

,

y

=

42°
(iii)

x

=

112°

,

y

=

43°
(iv)

x

=

113°

,

y

=

44°
(v)

x

=

110°

,

y

=

41°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

106°

,

y

=

106°
(ii)

x

=

103°

,

y

=

103°
(iii)

x

=

107°

,

y

=

107°
(iv)

x

=

105°

,

y

=

105°
(v)

x

=

104°

,

y

=

104°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

146°
(ii)

x

=

110°

,

y

=

148°
(iii)

x

=

107°

,

y

=

145°
(iv)

x

=

109°

,

y

=

147°
(v)

x

=

111°

,

y

=

149°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

87°

,

y

=

113°
(ii)

x

=

83°

,

y

=

109°
(iii)

x

=

85°

,

y

=

111°
(iv)

x

=

86°

,

y

=

112°
(v)

x

=

84°

,

y

=

110°

Assignment Key