EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 65° and 57° respectively. Find the measure of the third angle of the triangle

(i)

58°
(ii)

59°
(iii)

56°
(iv)

60°
(v)

57°

Question 2

2.

The angles of a triangle ABC are in the ratio 12 : 14 : 34. Find the measure of each angle of the triangle

(i)

A

=

38°

,

B

=

42°

,

C

=

100°
(ii)

A

=

36°

,

B

=

42°

,

C

=

102°
(iii)

A

=

36°

,

B

=

40°

,

C

=

104°
(iv)

A

=

34°

,

B

=

44°

,

C

=

102°
(v)

A

=

34°

,

B

=

42°

,

C

=

104°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

54.2°
(ii)

x

=

55.2°
(iii)

x

=

53.2°
(iv)

x

=

56.2°
(v)

x

=

57.2°

Question 4

4.

In the given figure, △CDE in which side DE has been produced to F. If ∠ECD = x° , ∠CDE = (5/6a)° , ∠DEC = (2/3a)° and ∠CEF = (7/3a)°, find the values of a and x.

(i)

a

=

58°

,

x

=

88°
(ii)

a

=

60°

,

x

=

90°
(iii)

a

=

61°

,

x

=

91°
(iv)

a

=

62°

,

x

=

92°
(v)

a

=

59°

,

x

=

89°

Question 5

5.

Find the angles of the triangle

(i)

D

=

48°

,

E

=

42°

,

F

=

90°
(ii)

D

=

50°

,

E

=

40°

,

F

=

90°
(iii)

D

=

52°

,

E

=

40°

,

F

=

88°
(iv)

D

=

48°

,

E

=

40°

,

F

=

92°
(v)

D

=

50°

,

E

=

38°

,

F

=

92°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

57°
(ii)

x

=

56°
(iii)

x

=

54°
(iv)

x

=

58°
(v)

x

=

55°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

66.03°
(ii)

x

=

67.03°
(iii)

x

=

68.03°
(iv)

x

=

69.03°
(v)

x

=

70.03°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

55.25°
(ii)

x

=

52.25°
(iii)

x

=

54.25°
(iv)

x

=

51.25°
(v)

x

=

53.25°

Question 9

9.

Find the unknown angles in the following figure

(i)

F

=

41°

,

G

=

41°
(ii)

F

=

40°

,

G

=

40°
(iii)

F

=

37°

,

G

=

37°
(iv)

F

=

39°

,

G

=

39°
(v)

F

=

38°

,

G

=

38°

Question 10

10.

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

(i)

F

=

58°

,

G

=

47°

,

H

=

75°
(ii)

F

=

62°

,

G

=

45°

,

H

=

73°
(iii)

F

=

60°

,

G

=

43°

,

H

=

77°
(iv)

F

=

58°

,

G

=

45°

,

H

=

77°
(v)

F

=

60°

,

G

=

45°

,

H

=

75°

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

=

47°

,

G

=

75°
(ii)

E

=

60°

,

F

=

43°

,

G

=

77°
(iii)

E

=

62°

,

F

=

45°

,

G

=

73°
(iv)

E

=

60°

,

F

=

45°

,

G

=

75°
(v)

E

=

58°

,

F

=

45°

,

G

=

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

=

45°

,

y

=

34°

,

z

=

101°
(ii)

x

=

43°

,

y

=

36°

,

z

=

101°
(iii)

x

=

47°

,

y

=

36°

,

z

=

97°
(iv)

x

=

45°

,

y

=

36°

,

z

=

99°
(v)

x

=

43°

,

y

=

38°

,

z

=

99°

Question 13

13.

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

(i)

x

=

45°

,

y

=

81°
(ii)

x

=

46°

,

y

=

82°
(iii)

x

=

43°

,

y

=

79°
(iv)

x

=

44°

,

y

=

80°
(v)

x

=

47°

,

y

=

83°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

58.17°
(ii)

x

=

62.17°
(iii)

x

=

60.17°
(iv)

x

=

61.17°
(v)

x

=

59.17°

Question 15

15.

In the given triangle, ∠D = 63.64°. Find the measure of ∠E and ∠F

(i)

∠E = ∠F = 58.18°
(ii)

∠E = ∠F = 60.18°
(iii)

∠E = ∠F = 59.18°
(iv)

∠E = ∠F = 56.18°
(v)

∠E = ∠F = 57.18°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

51.8°
(ii)

x

=

50.8°
(iii)

x

=

53.8°
(iv)

x

=

52.8°
(v)

x

=

49.8°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

45°
(ii)

x

=

43°
(iii)

x

=

46°
(iv)

x

=

47°
(v)

x

=

44°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

137°
(iii)

x

=

133°
(iv)

x

=

134°
(v)

x

=

136°

Question 19

19.

In △GHI, if ∠G = 51° and ∠H = 61°, find the measure of ∠I

(i)

I

=

66°
(ii)

I

=

69°
(iii)

I

=

70°
(iv)

I

=

68°
(v)

I

=

67°

Question 20

20.

In △CDE, if ∠C = 60° and ∠D = ∠E, find the measure of each of the equal angles of the triangle

(i)

61°
(ii)

60°
(iii)

58°
(iv)

59°
(v)

62°

Question 21

21.

One angle of a triangle measures 45° and the other two angles are in the ratio 4 : 11. Find these angles.

(i)

B

=

37°

,

C

=

100°
(ii)

B

=

34°

,

C

=

97°
(iii)

B

=

36°

,

C

=

99°
(iv)

B

=

38°

,

C

=

101°
(v)

B

=

35°

,

C

=

98°

Question 22

22.

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

(i)

A

=

68°

,

C

=

18°
(ii)

A

=

71°

,

C

=

21°
(iii)

A

=

69°

,

C

=

19°
(iv)

A

=

70°

,

C

=

20°
(v)

A

=

72°

,

C

=

22°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 52°. Find the measure of each angle of the triangle.

(i)

A

=

50°

,

B

=

54°

,

C

=

76°
(ii)

A

=

50°

,

B

=

52°

,

C

=

78°
(iii)

A

=

52°

,

B

=

52°

,

C

=

76°
(iv)

A

=

54°

,

B

=

52°

,

C

=

74°
(v)

A

=

52°

,

B

=

50°

,

C

=

78°

Question 24

24.

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

(i)

47°
(ii)

44°
(iii)

46°
(iv)

45°
(v)

43°

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)

60°
(ii)

58°
(iii)

61°
(iv)

62°
(v)

59°

Question 26

26.

In a right-angled triangle if one of the acute angles is 42°, find the measure of the other acute angle.

(i)

47°
(ii)

50°
(iii)

48°
(iv)

49°
(v)

46°

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

=

120°

,

B

=

30°

,

C

=

30°
(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

=

22°

,

B

=

80°

,

C

=

78°
(ii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iii)

A

=

20°

,

B

=

80°

,

C

=

80°
(iv)

A

=

18°

,

B

=

82°

,

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 11 : 14. Find each angle of the triangle

(i)

A

=

70°

,

B

=

53°

,

C

=

57°
(ii)

A

=

68°

,

B

=

57°

,

C

=

55°
(iii)

A

=

72°

,

B

=

55°

,

C

=

53°
(iv)

A

=

68°

,

B

=

55°

,

C

=

57°
(v)

A

=

70°

,

B

=

55°

,

C

=

55°

Question 30

30.

In the given figure, find ∠FGE

(i)

72°
(ii)

68°
(iii)

70°
(iv)

69°
(v)

71°

Question 31

31.

In the given figure, find ∠MKL

(i)

104°
(ii)

105°
(iii)

103°
(iv)

106°
(v)

102°

Question 32

32.

In the given figure, find ∠JKI

(i)

52°
(ii)

54°
(iii)

51°
(iv)

50°
(v)

53°

Question 33

33.

In the given figure, find ∠AED

(i)

147°
(ii)

148°
(iii)

149°
(iv)

146°
(v)

145°

Question 34

34.

In the given figure , if JG ⟂ HI and ∠GHJ = 48.74°, find ∠JGH

(i)

39.26°
(ii)

41.26°
(iii)

42.26°
(iv)

43.26°
(v)

40.26°

Question 35

35.

In the given figure , if EB ⟂ CD and ∠BCE = 50.35°, find ∠DBE

(i)

26.44°
(ii)

27.44°
(iii)

24.44°
(iv)

25.44°
(v)

28.44°

Question 36

36.

In the given figure , if FC ⟂ DE and ∠CDF = 50.35°, find ∠FEC

(i)

65.56°
(ii)

61.56°
(iii)

62.56°
(iv)

63.56°
(v)

64.56°

Question 37

37.

In below given figure, find ∠KNM

(i)

129.01°
(ii)

126.01°
(iii)

128.01°
(iv)

130.01°
(v)

127.01°

Question 38

38.

In below given figure, find ∠IFG

(i)

68.96°
(ii)

70.96°
(iii)

71.96°
(iv)

69.96°
(v)

67.96°

Question 39

39.

In below given figure, find ∠FDH

(i)

96.20°
(ii)

99.20°
(iii)

97.20°
(iv)

95.20°
(v)

98.20°

Question 40

40.

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

(i)

x

=

17.24°

,

y

=

74.78°
(ii)

x

=

16.24°

,

y

=

73.78°
(iii)

x

=

18.24°

,

y

=

75.78°
(iv)

x

=

15.24°

,

y

=

72.78°
(v)

x

=

19.24°

,

y

=

76.78°

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

=

90°

,

Z

=

45°
(iii)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(iv)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(v)

X

=

47°

,

Y

=

90°

,

Z

=

43°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

131°
(ii)

x

=

132°
(iii)

x

=

133°
(iv)

x

=

134°
(v)

x

=

135°

Question 43

43.

In the given figure, if HF = HI = IG, find the value of x

(i)

x

=

25°
(ii)

x

=

26°
(iii)

x

=

23°
(iv)

x

=

22°
(v)

x

=

24°

Question 44

44.

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

(i)

x

=

55.14°
(ii)

x

=

52.14°
(iii)

x

=

53.14°
(iv)

x

=

54.14°
(v)

x

=

56.14°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

48°
(ii)

x

=

113°

,

y

=

47°
(iii)

x

=

116°

,

y

=

50°
(iv)

x

=

115°

,

y

=

49°
(v)

x

=

112°

,

y

=

46°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

104°

,

y

=

104°
(ii)

x

=

107°

,

y

=

107°
(iii)

x

=

103°

,

y

=

103°
(iv)

x

=

106°

,

y

=

106°
(v)

x

=

105°

,

y

=

105°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

116°

,

y

=

153°
(ii)

x

=

118°

,

y

=

155°
(iii)

x

=

117°

,

y

=

154°
(iv)

x

=

119°

,

y

=

156°
(v)

x

=

120°

,

y

=

157°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

92°

,

y

=

115°
(ii)

x

=

94°

,

y

=

117°
(iii)

x

=

91°

,

y

=

114°
(iv)

x

=

90°

,

y

=

113°
(v)

x

=

93°

,

y

=

116°

Assignment Key