EduSahara™ Worksheet

Question 1

1.

Sum of the interior angles in a triangle is

(i)

195°
(ii)

180°
(iii)

210°
(iv)

185°
(v)

190°

Question 2

2.

Two angles of a triangle measure 61° and 52° respectively. Find the measure of the third angle of the triangle

(i)

67°
(ii)

66°
(iii)

69°
(iv)

65°
(v)

68°

Question 3

3.

The angles of a triangle ABC are in the ratio 4 : 3 : 5. Find the measure of each angle of the triangle

(i)

A

=

60°

,

B

=

45°

,

C

=

75°
(ii)

A

=

58°

,

B

=

45°

,

C

=

77°
(iii)

A

=

58°

,

B

=

47°

,

C

=

75°
(iv)

A

=

60°

,

B

=

43°

,

C

=

77°
(v)

A

=

62°

,

B

=

45°

,

C

=

73°

Question 4

4.

Find the unknown angle from the following figure

(i)

x

=

46.47°
(ii)

x

=

44.47°
(iii)

x

=

48.47°
(iv)

x

=

47.47°
(v)

x

=

45.47°

Question 5

5.

In the given figure, △DEF in which side EF has been produced to G. If ∠FDE = x° , ∠DEF = (7a)° , ∠EFD = (5a)° and ∠DFG = (13a)°, find the values of a and x.

(i)

a

=

12°

,

x

=

62°
(ii)

a

=

11°

,

x

=

61°
(iii)

a

=

9°

,

x

=

59°
(iv)

a

=

8°

,

x

=

58°
(v)

a

=

10°

,

x

=

60°

Question 6

6.

Find the angles of the triangle

(i)

F

=

18°

,

G

=

52°

,

H

=

110°
(ii)

F

=

22°

,

G

=

50°

,

H

=

108°
(iii)

F

=

20°

,

G

=

50°

,

H

=

110°
(iv)

F

=

18°

,

G

=

50°

,

H

=

112°
(v)

F

=

20°

,

G

=

48°

,

H

=

112°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

55.14°
(ii)

x

=

58.14°
(iii)

x

=

57.14°
(iv)

x

=

59.14°
(v)

x

=

56.14°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

68.11°
(ii)

x

=

67.11°
(iii)

x

=

69.11°
(iv)

x

=

70.11°
(v)

x

=

66.11°

Question 9

9.

Find the unknown angles in the following figure

(i)

H

=

29°

,

I

=

29°
(ii)

H

=

32°

,

I

=

32°
(iii)

H

=

33°

,

I

=

33°
(iv)

H

=

30°

,

I

=

30°
(v)

H

=

31°

,

I

=

31°

Question 10

10.

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

(i)

B

=

60°

,

C

=

38°

,

D

=

82°
(ii)

B

=

58°

,

C

=

40°

,

D

=

82°
(iii)

B

=

62°

,

C

=

40°

,

D

=

78°
(iv)

B

=

58°

,

C

=

42°

,

D

=

80°
(v)

B

=

60°

,

C

=

40°

,

D

=

80°

Question 11

11.

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

=

62°

,

G

=

45°

,

H

=

73°
(iii)

F

=

58°

,

G

=

45°

,

H

=

77°
(iv)

F

=

58°

,

G

=

47°

,

H

=

75°
(v)

F

=

60°

,

G

=

43°

,

H

=

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

=

47°

,

y

=

54°

,

z

=

79°
(ii)

x

=

43°

,

y

=

56°

,

z

=

81°
(iii)

x

=

45°

,

y

=

52°

,

z

=

83°
(iv)

x

=

43°

,

y

=

54°

,

z

=

83°
(v)

x

=

45°

,

y

=

54°

,

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

=

59°

,

y

=

74°
(ii)

x

=

58°

,

y

=

73°
(iii)

x

=

60°

,

y

=

75°
(iv)

x

=

62°

,

y

=

77°
(v)

x

=

61°

,

y

=

76°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

60.17°
(ii)

x

=

59.17°
(iii)

x

=

58.17°
(iv)

x

=

61.17°
(v)

x

=

62.17°

Question 15

15.

Calculate the value of the lettered angle in the following figure

(i)

x

=

43°
(ii)

x

=

47°
(iii)

x

=

44°
(iv)

x

=

46°
(v)

x

=

45°

Question 16

16.

In △JKL, if ∠J = 64° and ∠K = 59°, find the measure of ∠L

(i)

L

=

57°
(ii)

L

=

55°
(iii)

L

=

58°
(iv)

L

=

56°
(v)

L

=

59°

Question 17

17.

In △DEF, if ∠D = 40° and ∠E = ∠F, find the measure of each of the equal angles of the triangle

(i)

70°
(ii)

68°
(iii)

69°
(iv)

72°
(v)

71°

Question 18

18.

One angle of a triangle measures 30° and the other two angles are in the ratio 4 : 11. Find these angles.

(i)

B

=

39°

,

C

=

109°
(ii)

B

=

40°

,

C

=

110°
(iii)

B

=

38°

,

C

=

108°
(iv)

B

=

42°

,

C

=

112°
(v)

B

=

41°

,

C

=

111°

Question 19

19.

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

(i)

A

=

43°

,

C

=

43°
(ii)

A

=

45°

,

C

=

45°
(iii)

A

=

46°

,

C

=

46°
(iv)

A

=

47°

,

C

=

47°
(v)

A

=

44°

,

C

=

44°

Question 20

20.

One of the two equal angles of an isosceles triangle measures 64°. Find the measure of each angle of the triangle.

(i)

A

=

66°

,

B

=

64°

,

C

=

50°
(ii)

A

=

64°

,

B

=

64°

,

C

=

52°
(iii)

A

=

64°

,

B

=

62°

,

C

=

54°
(iv)

A

=

62°

,

B

=

64°

,

C

=

54°
(v)

A

=

62°

,

B

=

66°

,

C

=

52°

Question 21

21.

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

(i)

58°
(ii)

59°
(iii)

60°
(iv)

62°
(v)

61°

Question 22

22.

In a right-angled triangle if one of the acute angles is 54°, find the measure of the other acute angle.

(i)

36°
(ii)

37°
(iii)

34°
(iv)

38°
(v)

35°

Question 23

23.

In the given figure, find ∠LMK

(i)

64°
(ii)

62°
(iii)

63°
(iv)

61°
(v)

60°

Question 24

24.

In the given figure, find ∠LJK

(i)

115°
(ii)

118°
(iii)

117°
(iv)

114°
(v)

116°

Question 25

25.

In the given figure, find ∠FGE

(i)

44°
(ii)

41°
(iii)

43°
(iv)

42°
(v)

40°

Question 26

26.

In the given figure, find ∠EIH

(i)

148°
(ii)

147°
(iii)

144°
(iv)

146°
(v)

145°

Question 27

27.

In the given figure , if EB ⟂ CD and ∠BCE = 55.35°, find ∠EBC

(i)

32.65°
(ii)

35.65°
(iii)

34.65°
(iv)

33.65°
(v)

36.65°

Question 28

28.

In the given figure , if FC ⟂ DE and ∠CDF = 55.35°, find ∠ECF

(i)

22.53°
(ii)

23.53°
(iii)

21.53°
(iv)

20.53°
(v)

24.53°

Question 29

29.

In the given figure , if KH ⟂ IJ and ∠HIK = 50.96°, find ∠KJH

(i)

66.06°
(ii)

64.06°
(iii)

65.06°
(iv)

63.06°
(v)

62.06°

Question 30

30.

In below given figure, find ∠ADC

(i)

122.12°
(ii)

120.12°
(iii)

121.12°
(iv)

123.12°
(v)

124.12°

Question 31

31.

In below given figure, find ∠DAB

(i)

59.99°
(ii)

58.99°
(iii)

61.99°
(iv)

62.99°
(v)

60.99°

Question 32

32.

In below given figure, find ∠HFJ

(i)

90.44°
(ii)

91.44°
(iii)

92.44°
(iv)

89.44°
(v)

88.44°

Question 33

33.

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

(i)

x

=

19.98°

,

y

=

75.75°
(ii)

x

=

20.98°

,

y

=

76.75°
(iii)

x

=

17.98°

,

y

=

73.75°
(iv)

x

=

21.98°

,

y

=

77.75°
(v)

x

=

18.98°

,

y

=

74.75°

Question 34

34.

(i)

120°
(ii)

121°
(iii)

118°
(iv)

119°
(v)

122°

Question 35

35.

In the given figure, △IJK is a triangle in which ∠J = 46.23° and ∠K = 46.87°.

If 'z' is the angle between the bisector of ∠J and ∠K, then find z.

(i)

134.45°
(ii)

131.45°
(iii)

135.45°
(iv)

133.45°
(v)

132.45°

Question 36

36.

In the given figure, ∠L = 65.61° and ∠M = 54°.

Side MN is produced to O, so that ∠MNL and ∠LNO form a linear pair.

(i)

x

=

28.2°

,

y

=

57.8°
(ii)

x

=

32.2°

,

y

=

61.8°
(iii)

x

=

29.2°

,

y

=

58.8°
(iv)

x

=

31.2°

,

y

=

60.8°
(v)

x

=

30.2°

,

y

=

59.8°

Question 37

37.

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

(i)

x

=

41.08°

,

y

=

49.08°
(ii)

x

=

43.08°

,

y

=

51.08°
(iii)

x

=

42.08°

,

y

=

50.08°
(iv)

x

=

44.08°

,

y

=

52.08°
(v)

x

=

40.08°

,

y

=

48.08°

Question 38

38.

In the given figure, △GHI in which ∠H = 53.8° and ∠I = 50.84°. GJ and HI bisects each other. Find the value of z

(i)

z

=

77.36°
(ii)

z

=

76.36°
(iii)

z

=

75.36°
(iv)

z

=

74.36°
(v)

z

=

73.36°

Question 39

39.

In the given figure, calculate the value of x.

(i)

x

=

20°
(ii)

x

=

19°
(iii)

x

=

18°
(iv)

x

=

21°
(v)

x

=

22°

Question 40

40.

In the given figure, calculate the value of x.

(i)

x

=

71.61°
(ii)

x

=

73.61°
(iii)

x

=

74.61°
(iv)

x

=

72.61°
(v)

x

=

70.61°

Question 41

41.

In the given figure, calculate the value of x.

(i)

x

=

43.04°
(ii)

x

=

42.04°
(iii)

x

=

41.04°
(iv)

x

=

44.04°
(v)

x

=

40.04°

Question 42

42.

In the given figure, calculate the value of x.

(i)

x

=

137°
(ii)

x

=

139°
(iii)

x

=

136°
(iv)

x

=

140°
(v)

x

=

138°

Question 43

43.

Find the unknown marked angles in the following figure

(i)

x

=

125°

,

y

=

156°
(ii)

x

=

124°

,

y

=

155°
(iii)

x

=

121°

,

y

=

152°
(iv)

x

=

122°

,

y

=

153°
(v)

x

=

123°

,

y

=

154°

Question 44

44.

Find the unknown marked angles in the following figure

(i)

x

=

84°

,

y

=

108°
(ii)

x

=

88°

,

y

=

112°
(iii)

x

=

86°

,

y

=

110°
(iv)

x

=

85°

,

y

=

109°
(v)

x

=

87°

,

y

=

111°

Question 45

45.

In the given figure, it is given that IH ∥ KJ , ∠IKJ = 81° and ∠IHG = 73°. Find the value of x.

(i)

x

=

28°
(ii)

x

=

27°
(iii)

x

=

24°
(iv)

x

=

25°
(v)

x

=

26°

Assignment Key