EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 52° and 56° respectively. Find the measure of the third angle of the triangle

(i)

70°
(ii)

74°
(iii)

71°
(iv)

73°
(v)

72°

Question 2

2.

The angles of a triangle ABC are in the ratio 3 : 4 : 11. Find the measure of each angle of the triangle

(i)

A

=

30°

,

B

=

40°

,

C

=

110°
(ii)

A

=

32°

,

B

=

40°

,

C

=

108°
(iii)

A

=

28°

,

B

=

42°

,

C

=

110°
(iv)

A

=

28°

,

B

=

40°

,

C

=

112°
(v)

A

=

30°

,

B

=

38°

,

C

=

112°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

64.26°
(ii)

x

=

61.26°
(iii)

x

=

65.26°
(iv)

x

=

62.26°
(v)

x

=

63.26°

Question 4

4.

In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (7/12a)° , ∠CDB = (5/12a)° and ∠BDE = (13/12a)°, find the values of a and x.

(i)

a

=

122°

,

x

=

62°
(ii)

a

=

121°

,

x

=

61°
(iii)

a

=

119°

,

x

=

59°
(iv)

a

=

118°

,

x

=

58°
(v)

a

=

120°

,

x

=

60°

Question 5

5.

Find the angles of the triangle

(i)

I

=

43°

,

J

=

40°

,

K

=

97°
(ii)

I

=

43°

,

J

=

42°

,

K

=

95°
(iii)

I

=

45°

,

J

=

40°

,

K

=

95°
(iv)

I

=

47°

,

J

=

40°

,

K

=

93°
(v)

I

=

45°

,

J

=

38°

,

K

=

97°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

104.5°
(ii)

x

=

105.5°
(iii)

x

=

101.5°
(iv)

x

=

103.5°
(v)

x

=

102.5°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

84.46°
(ii)

x

=

86.46°
(iii)

x

=

88.46°
(iv)

x

=

87.46°
(v)

x

=

85.46°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

47.3°
(ii)

x

=

46.3°
(iii)

x

=

44.3°
(iv)

x

=

48.3°
(v)

x

=

45.3°

Question 9

9.

Find the unknown angles in the following figure

(i)

D

=

47°

,

E

=

47°
(ii)

D

=

49°

,

E

=

49°
(iii)

D

=

50°

,

E

=

50°
(iv)

D

=

48°

,

E

=

48°
(v)

D

=

51°

,

E

=

51°

Question 10

10.

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

(i)

F

=

60°

,

G

=

45°

,

H

=

75°
(ii)

F

=

58°

,

G

=

45°

,

H

=

77°
(iii)

F

=

58°

,

G

=

47°

,

H

=

75°
(iv)

F

=

62°

,

G

=

45°

,

H

=

73°
(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)

C

=

48°

,

D

=

57°

,

E

=

75°
(ii)

C

=

52°

,

D

=

55°

,

E

=

73°
(iii)

C

=

48°

,

D

=

55°

,

E

=

77°
(iv)

C

=

50°

,

D

=

55°

,

E

=

75°
(v)

C

=

50°

,

D

=

53°

,

E

=

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

=

45°

,

z

=

81°
(ii)

x

=

56°

,

y

=

45°

,

z

=

79°
(iii)

x

=

52°

,

y

=

47°

,

z

=

81°
(iv)

x

=

54°

,

y

=

43°

,

z

=

83°
(v)

x

=

52°

,

y

=

45°

,

z

=

83°

Question 13

13.

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

(i)

x

=

57°

,

y

=

92°
(ii)

x

=

53°

,

y

=

88°
(iii)

x

=

55°

,

y

=

90°
(iv)

x

=

56°

,

y

=

91°
(v)

x

=

54°

,

y

=

89°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

27.59°
(ii)

x

=

23.59°
(iii)

x

=

26.59°
(iv)

x

=

25.59°
(v)

x

=

24.59°

Question 15

15.

In the given triangle, ∠I = 43.5°. Find the measure of ∠J and ∠K

(i)

∠J = ∠K = 70.25°
(ii)

∠J = ∠K = 66.25°
(iii)

∠J = ∠K = 69.25°
(iv)

∠J = ∠K = 67.25°
(v)

∠J = ∠K = 68.25°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

48.19°
(ii)

x

=

51.19°
(iii)

x

=

49.19°
(iv)

x

=

50.19°
(v)

x

=

52.19°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

47°
(ii)

x

=

43°
(iii)

x

=

44°
(iv)

x

=

45°
(v)

x

=

46°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

133°
(iii)

x

=

134°
(iv)

x

=

137°
(v)

x

=

136°

Question 19

19.

In △HIJ, if ∠H = 66° and ∠I = 50°, find the measure of ∠J

(i)

J

=

63°
(ii)

J

=

66°
(iii)

J

=

64°
(iv)

J

=

62°
(v)

J

=

65°

Question 20

20.

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

(i)

51°
(ii)

48°
(iii)

52°
(iv)

49°
(v)

50°

Question 21

21.

One angle of a triangle measures 60° and the other two angles are in the ratio 7 : 17. Find these angles.

(i)

B

=

37°

,

C

=

87°
(ii)

B

=

34°

,

C

=

84°
(iii)

B

=

33°

,

C

=

83°
(iv)

B

=

36°

,

C

=

86°
(v)

B

=

35°

,

C

=

85°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 4 : 5. Find these angles.

(i)

A

=

38°

,

C

=

48°
(ii)

A

=

40°

,

C

=

50°
(iii)

A

=

41°

,

C

=

51°
(iv)

A

=

42°

,

C

=

52°
(v)

A

=

39°

,

C

=

49°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 50°. Find the measure of each angle of the triangle.

(i)

A

=

50°

,

B

=

50°

,

C

=

80°
(ii)

A

=

50°

,

B

=

48°

,

C

=

82°
(iii)

A

=

52°

,

B

=

50°

,

C

=

78°
(iv)

A

=

48°

,

B

=

50°

,

C

=

82°
(v)

A

=

48°

,

B

=

52°

,

C

=

80°

Question 24

24.

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

(i)

43°
(ii)

45°
(iii)

47°
(iv)

44°
(v)

46°

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)

58°
(ii)

61°
(iii)

62°
(iv)

60°
(v)

59°

Question 26

26.

In a right-angled triangle if one of the acute angles is 51°, find the measure of the other acute angle.

(i)

41°
(ii)

38°
(iii)

37°
(iv)

40°
(v)

39°

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

=

30°

,

C

=

32°
(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

=

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 7 : 4. Find each angle of the triangle

(i)

A

=

40°

,

B

=

68°

,

C

=

72°
(ii)

A

=

38°

,

B

=

70°

,

C

=

72°
(iii)

A

=

40°

,

B

=

70°

,

C

=

70°
(iv)

A

=

42°

,

B

=

70°

,

C

=

68°
(v)

A

=

38°

,

B

=

72°

,

C

=

70°

Question 30

30.

In the given figure, find ∠GHF

(i)

78°
(ii)

74°
(iii)

75°
(iv)

77°
(v)

76°

Question 31

31.

In the given figure, find ∠OMN

(i)

121°
(ii)

123°
(iii)

122°
(iv)

120°
(v)

119°

Question 32

32.

In the given figure, find ∠HIG

(i)

22°
(ii)

25°
(iii)

24°
(iv)

21°
(v)

23°

Question 33

33.

In the given figure, find ∠KON

(i)

125°
(ii)

123°
(iii)

126°
(iv)

124°
(v)

122°

Question 34

34.

In the given figure , if DA ⟂ BC and ∠ABD = 39.58°, find ∠DAB

(i)

52.42°
(ii)

50.42°
(iii)

49.42°
(iv)

48.42°
(v)

51.42°

Question 35

35.

In the given figure , if LI ⟂ JK and ∠IJL = 53.94°, find ∠KIL

(i)

24.60°
(ii)

25.60°
(iii)

22.60°
(iv)

23.60°
(v)

21.60°

Question 36

36.

In the given figure , if LI ⟂ JK and ∠IJL = 53.94°, find ∠LKI

(i)

66.40°
(ii)

64.40°
(iii)

68.40°
(iv)

67.40°
(v)

65.40°

Question 37

37.

In below given figure, find ∠JML

(i)

115.97°
(ii)

117.97°
(iii)

114.97°
(iv)

116.97°
(v)

118.97°

Question 38

38.

In below given figure, find ∠GDE

(i)

79.04°
(ii)

80.04°
(iii)

83.04°
(iv)

82.04°
(v)

81.04°

Question 39

39.

In below given figure, find ∠HFJ

(i)

85.53°
(ii)

81.53°
(iii)

82.53°
(iv)

84.53°
(v)

83.53°

Question 40

40.

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

(i)

x

=

26.59°

,

y

=

47.83°
(ii)

x

=

25.59°

,

y

=

46.83°
(iii)

x

=

23.59°

,

y

=

44.83°
(iv)

x

=

27.59°

,

y

=

48.83°
(v)

x

=

24.59°

,

y

=

45.83°

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

=

45°

,

Y

=

90°

,

Z

=

45°
(iv)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(v)

X

=

43°

,

Y

=

92°

,

Z

=

45°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

24°
(ii)

x

=

23°
(iii)

x

=

25°
(iv)

x

=

26°
(v)

x

=

27°

Question 43

43.

In the given figure, if IG = IJ = JH, find the value of x

(i)

x

=

35°
(ii)

x

=

34°
(iii)

x

=

37°
(iv)

x

=

36°
(v)

x

=

38°

Question 44

44.

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

(i)

x

=

51.56°
(ii)

x

=

54.56°
(iii)

x

=

53.56°
(iv)

x

=

52.56°
(v)

x

=

55.56°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

36°
(ii)

x

=

109°

,

y

=

37°
(iii)

x

=

107°

,

y

=

35°
(iv)

x

=

110°

,

y

=

38°
(v)

x

=

106°

,

y

=

34°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

107°

,

y

=

107°
(ii)

x

=

104°

,

y

=

104°
(iii)

x

=

105°

,

y

=

105°
(iv)

x

=

108°

,

y

=

108°
(v)

x

=

106°

,

y

=

106°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

107°

,

y

=

143°
(ii)

x

=

109°

,

y

=

145°
(iii)

x

=

110°

,

y

=

146°
(iv)

x

=

108°

,

y

=

144°
(v)

x

=

111°

,

y

=

147°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

91°

,

y

=

116°
(ii)

x

=

92°

,

y

=

117°
(iii)

x

=

95°

,

y

=

120°
(iv)

x

=

94°

,

y

=

119°
(v)

x

=

93°

,

y

=

118°

Assignment Key