EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 64° and 65° respectively. Find the measure of the third angle of the triangle

(i)

53°
(ii)

51°
(iii)

52°
(iv)

50°
(v)

49°

Question 2

2.

The angles of a triangle ABC are in the ratio 7 : 9 : 14. Find the measure of each angle of the triangle

(i)

A

=

40°

,

B

=

56°

,

C

=

84°
(ii)

A

=

42°

,

B

=

54°

,

C

=

84°
(iii)

A

=

40°

,

B

=

54°

,

C

=

86°
(iv)

A

=

44°

,

B

=

54°

,

C

=

82°
(v)

A

=

42°

,

B

=

52°

,

C

=

86°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

67.21°
(ii)

x

=

66.21°
(iii)

x

=

65.21°
(iv)

x

=

69.21°
(v)

x

=

68.21°

Question 4

4.

In the given figure, △EFG in which side FG has been produced to H. If ∠GEF = x° , ∠EFG = (3/2a)° , ∠FGE = (9/2a)° and ∠EGH = (9/2a)°, find the values of a and x.

(i)

a

=

21°

,

x

=

61°
(ii)

a

=

20°

,

x

=

60°
(iii)

a

=

18°

,

x

=

58°
(iv)

a

=

22°

,

x

=

62°
(v)

a

=

19°

,

x

=

59°

Question 5

5.

Find the angles of the triangle

(i)

E

=

62°

,

F

=

45°

,

G

=

73°
(ii)

E

=

58°

,

F

=

47°

,

G

=

75°
(iii)

E

=

58°

,

F

=

45°

,

G

=

77°
(iv)

E

=

60°

,

F

=

43°

,

G

=

77°
(v)

E

=

60°

,

F

=

45°

,

G

=

75°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

103.5°
(ii)

x

=

102.5°
(iii)

x

=

104.5°
(iv)

x

=

105.5°
(v)

x

=

101.5°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

57.31°
(ii)

x

=

58.31°
(iii)

x

=

55.31°
(iv)

x

=

56.31°
(v)

x

=

59.31°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

60.12°
(ii)

x

=

58.12°
(iii)

x

=

62.12°
(iv)

x

=

59.12°
(v)

x

=

61.12°

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

=

35°

,

D

=

35°
(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)

I

=

52°

,

J

=

38°

,

K

=

90°
(ii)

I

=

52°

,

J

=

36°

,

K

=

92°
(iii)

I

=

54°

,

J

=

34°

,

K

=

92°
(iv)

I

=

54°

,

J

=

36°

,

K

=

90°
(v)

I

=

56°

,

J

=

36°

,

K

=

88°

Question 11

11.

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

(i)

H

=

28°

,

I

=

27°

,

J

=

125°
(ii)

H

=

32°

,

I

=

25°

,

J

=

123°
(iii)

H

=

30°

,

I

=

23°

,

J

=

127°
(iv)

H

=

30°

,

I

=

25°

,

J

=

125°
(v)

H

=

28°

,

I

=

25°

,

J

=

127°

Question 12

12.

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

(i)

x

=

60°

,

y

=

45°

,

z

=

75°
(ii)

x

=

58°

,

y

=

47°

,

z

=

75°
(iii)

x

=

58°

,

y

=

45°

,

z

=

77°
(iv)

x

=

60°

,

y

=

43°

,

z

=

77°
(v)

x

=

62°

,

y

=

45°

,

z

=

73°

Question 13

13.

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

(i)

x

=

61°

,

y

=

76°
(ii)

x

=

62°

,

y

=

77°
(iii)

x

=

58°

,

y

=

73°
(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

=

60.17°
(ii)

x

=

61.17°
(iii)

x

=

59.17°
(iv)

x

=

62.17°
(v)

x

=

58.17°

Question 15

15.

In the given triangle, ∠I = 62.16°. Find the measure of ∠J and ∠K

(i)

∠J = ∠K = 56.92°
(ii)

∠J = ∠K = 60.92°
(iii)

∠J = ∠K = 58.92°
(iv)

∠J = ∠K = 57.92°
(v)

∠J = ∠K = 59.92°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

61.87°
(ii)

x

=

59.87°
(iii)

x

=

60.87°
(iv)

x

=

63.87°
(v)

x

=

62.87°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

45°
(ii)

x

=

47°
(iii)

x

=

43°
(iv)

x

=

46°
(v)

x

=

44°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

133°
(ii)

x

=

137°
(iii)

x

=

136°
(iv)

x

=

134°
(v)

x

=

135°

Question 19

19.

In △BCD, if ∠B = 55° and ∠C = 68°, find the measure of ∠D

(i)

D

=

59°
(ii)

D

=

56°
(iii)

D

=

58°
(iv)

D

=

57°
(v)

D

=

55°

Question 20

20.

In △HIJ, if ∠H = 50° and ∠I = ∠J, find the measure of each of the equal angles of the triangle

(i)

65°
(ii)

63°
(iii)

64°
(iv)

66°
(v)

67°

Question 21

21.

One angle of a triangle measures 50° and the other two angles are in the ratio 5 : 21. Find these angles.

(i)

B

=

24°

,

C

=

104°
(ii)

B

=

26°

,

C

=

106°
(iii)

B

=

27°

,

C

=

107°
(iv)

B

=

25°

,

C

=

105°
(v)

B

=

23°

,

C

=

103°

Question 22

22.

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

(i)

A

=

25°

,

C

=

65°
(ii)

A

=

23°

,

C

=

63°
(iii)

A

=

24°

,

C

=

64°
(iv)

A

=

26°

,

C

=

66°
(v)

A

=

27°

,

C

=

67°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 59°. Find the measure of each angle of the triangle.

(i)

A

=

61°

,

B

=

59°

,

C

=

60°
(ii)

A

=

57°

,

B

=

59°

,

C

=

64°
(iii)

A

=

57°

,

B

=

61°

,

C

=

62°
(iv)

A

=

59°

,

B

=

57°

,

C

=

64°
(v)

A

=

59°

,

B

=

59°

,

C

=

62°

Question 24

24.

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

(i)

44°
(ii)

47°
(iii)

45°
(iv)

43°
(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)

60°
(ii)

61°
(iii)

62°
(iv)

59°
(v)

58°

Question 26

26.

In a right-angled triangle if one of the acute angles is 45°, find the measure of the other acute angle.

(i)

44°
(ii)

47°
(iii)

46°
(iv)

45°
(v)

43°

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

=

118°

,

B

=

32°

,

C

=

30°
(ii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iii)

A

=

122°

,

B

=

30°

,

C

=

28°
(iv)

A

=

120°

,

B

=

30°

,

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

=

78°

,

C

=

82°
(ii)

A

=

22°

,

B

=

80°

,

C

=

78°
(iii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iv)

A

=

18°

,

B

=

80°

,

C

=

82°
(v)

A

=

20°

,

B

=

80°

,

C

=

80°

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

=

88°

,

B

=

45°

,

C

=

47°
(ii)

A

=

90°

,

B

=

45°

,

C

=

45°
(iii)

A

=

88°

,

B

=

47°

,

C

=

45°
(iv)

A

=

90°

,

B

=

43°

,

C

=

47°
(v)

A

=

92°

,

B

=

45°

,

C

=

43°

Question 30

30.

In the given figure, find ∠EFD

(i)

63°
(ii)

66°
(iii)

65°
(iv)

67°
(v)

64°

Question 31

31.

In the given figure, find ∠GEF

(i)

106°
(ii)

102°
(iii)

103°
(iv)

104°
(v)

105°

Question 32

32.

In the given figure, find ∠KLJ

(i)

38°
(ii)

37°
(iii)

36°
(iv)

39°
(v)

35°

Question 33

33.

In the given figure, find ∠FJI

(i)

136°
(ii)

134°
(iii)

135°
(iv)

137°
(v)

138°

Question 34

34.

In the given figure , if HE ⟂ FG and ∠EFH = 53.13°, find ∠HEF

(i)

37.87°
(ii)

38.87°
(iii)

36.87°
(iv)

34.87°
(v)

35.87°

Question 35

35.

In the given figure , if LI ⟂ JK and ∠IJL = 55.35°, find ∠KIL

(i)

23.53°
(ii)

24.53°
(iii)

20.53°
(iv)

21.53°
(v)

22.53°

Question 36

36.

In the given figure , if JG ⟂ HI and ∠GHJ = 50.35°, find ∠JIG

(i)

62.56°
(ii)

64.56°
(iii)

65.56°
(iv)

63.56°
(v)

61.56°

Question 37

37.

In below given figure, find ∠JML

(i)

113.21°
(ii)

112.21°
(iii)

111.21°
(iv)

109.21°
(v)

110.21°

Question 38

38.

In below given figure, find ∠IFG

(i)

50.51°
(ii)

52.51°
(iii)

49.51°
(iv)

48.51°
(v)

51.51°

Question 39

39.

In below given figure, find ∠FDH

(i)

90.83°
(ii)

87.83°
(iii)

91.83°
(iv)

89.83°
(v)

88.83°

Question 40

40.

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

(i)

x

=

35.21°

,

y

=

59.18°
(ii)

x

=

37.21°

,

y

=

61.18°
(iii)

x

=

38.21°

,

y

=

62.18°
(iv)

x

=

34.21°

,

y

=

58.18°
(v)

x

=

36.21°

,

y

=

60.18°

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

=

90°

,

Z

=

45°
(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

=

88°

,

Z

=

47°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

127°
(ii)

x

=

130°
(iii)

x

=

126°
(iv)

x

=

129°
(v)

x

=

128°

Question 43

43.

In the given figure, if EC = EF = FD, find the value of x

(i)

x

=

35°
(ii)

x

=

38°
(iii)

x

=

36°
(iv)

x

=

34°
(v)

x

=

37°

Question 44

44.

In the given figure, if DA = BD and AE = EC , find the value of x.

(i)

x

=

62°
(ii)

x

=

65°
(iii)

x

=

64°
(iv)

x

=

63°
(v)

x

=

66°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

109°

,

y

=

38°
(ii)

x

=

111°

,

y

=

40°
(iii)

x

=

107°

,

y

=

36°
(iv)

x

=

108°

,

y

=

37°
(v)

x

=

110°

,

y

=

39°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

114°
(ii)

x

=

112°

,

y

=

112°
(iii)

x

=

111°

,

y

=

111°
(iv)

x

=

113°

,

y

=

113°
(v)

x

=

115°

,

y

=

115°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

115°

,

y

=

154°
(ii)

x

=

116°

,

y

=

155°
(iii)

x

=

113°

,

y

=

152°
(iv)

x

=

112°

,

y

=

151°
(v)

x

=

114°

,

y

=

153°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

91°

,

y

=

116°
(ii)

x

=

87°

,

y

=

112°
(iii)

x

=

89°

,

y

=

114°
(iv)

x

=

88°

,

y

=

113°
(v)

x

=

90°

,

y

=

115°

Assignment Key