EduSahara™ Worksheet

Question 1

1.

Two angles of a triangle measure 54° and 68° respectively. Find the measure of the third angle of the triangle

(i)

59°
(ii)

60°
(iii)

58°
(iv)

56°
(v)

57°

Question 2

2.

The angles of a triangle ABC are in the ratio 5 : 3 : 12. Find the measure of each angle of the triangle

(i)

A

=

47°

,

B

=

27°

,

C

=

106°
(ii)

A

=

43°

,

B

=

29°

,

C

=

108°
(iii)

A

=

43°

,

B

=

27°

,

C

=

110°
(iv)

A

=

45°

,

B

=

25°

,

C

=

110°
(v)

A

=

45°

,

B

=

27°

,

C

=

108°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

50.5°
(ii)

x

=

52.5°
(iii)

x

=

51.5°
(iv)

x

=

49.5°
(v)

x

=

48.5°

Question 4

4.

In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (8a)° , ∠IJH = (3a)° and ∠HJK = (15a)°, find the values of a and x.

(i)

a

=

12°

,

x

=

72°
(ii)

a

=

9°

,

x

=

69°
(iii)

a

=

8°

,

x

=

68°
(iv)

a

=

11°

,

x

=

71°
(v)

a

=

10°

,

x

=

70°

Question 5

5.

Find the angles of the triangle

(i)

J

=

45°

,

K

=

34°

,

L

=

101°
(ii)

J

=

47°

,

K

=

36°

,

L

=

97°
(iii)

J

=

45°

,

K

=

36°

,

L

=

99°
(iv)

J

=

43°

,

K

=

38°

,

L

=

99°
(v)

J

=

43°

,

K

=

36°

,

L

=

101°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

107.78°
(ii)

x

=

105.78°
(iii)

x

=

108.78°
(iv)

x

=

106.78°
(v)

x

=

109.78°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

59.38°
(ii)

x

=

58.38°
(iii)

x

=

57.38°
(iv)

x

=

56.38°
(v)

x

=

55.38°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

67.59°
(ii)

x

=

65.59°
(iii)

x

=

64.59°
(iv)

x

=

66.59°
(v)

x

=

63.59°

Question 9

9.

Find the unknown angles in the following figure

(i)

G

=

44°

,

H

=

44°
(ii)

G

=

46°

,

H

=

46°
(iii)

G

=

43°

,

H

=

43°
(iv)

G

=

47°

,

H

=

47°
(v)

G

=

45°

,

H

=

45°

Question 10

10.

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

(i)

D

=

58°

,

E

=

45°

,

F

=

77°
(ii)

D

=

60°

,

E

=

43°

,

F

=

77°
(iii)

D

=

58°

,

E

=

47°

,

F

=

75°
(iv)

D

=

62°

,

E

=

45°

,

F

=

73°
(v)

D

=

60°

,

E

=

45°

,

F

=

75°

Question 11

11.

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

(i)

H

=

43°

,

I

=

36°

,

J

=

101°
(ii)

H

=

45°

,

I

=

34°

,

J

=

101°
(iii)

H

=

47°

,

I

=

36°

,

J

=

97°
(iv)

H

=

43°

,

I

=

38°

,

J

=

99°
(v)

H

=

45°

,

I

=

36°

,

J

=

99°

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

=

43°

,

z

=

77°
(ii)

x

=

58°

,

y

=

45°

,

z

=

77°
(iii)

x

=

58°

,

y

=

47°

,

z

=

75°
(iv)

x

=

60°

,

y

=

45°

,

z

=

75°
(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

=

42°

,

y

=

77°
(ii)

x

=

41°

,

y

=

76°
(iii)

x

=

38°

,

y

=

73°
(iv)

x

=

40°

,

y

=

75°
(v)

x

=

39°

,

y

=

74°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

61.17°
(ii)

x

=

60.17°
(iii)

x

=

58.17°
(iv)

x

=

59.17°
(v)

x

=

62.17°

Question 15

15.

In the given triangle, ∠E = 79.62°. Find the measure of ∠F and ∠G

(i)

∠F = ∠G = 50.19°
(ii)

∠F = ∠G = 51.19°
(iii)

∠F = ∠G = 52.19°
(iv)

∠F = ∠G = 48.19°
(v)

∠F = ∠G = 49.19°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

62.64°
(ii)

x

=

64.64°
(iii)

x

=

65.64°
(iv)

x

=

61.64°
(v)

x

=

63.64°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

44°
(ii)

x

=

46°
(iii)

x

=

43°
(iv)

x

=

47°
(v)

x

=

45°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

134°
(ii)

x

=

137°
(iii)

x

=

133°
(iv)

x

=

135°
(v)

x

=

136°

Question 19

19.

In △DEF, if ∠D = 62° and ∠E = 55°, find the measure of ∠F

(i)

F

=

65°
(ii)

F

=

61°
(iii)

F

=

62°
(iv)

F

=

64°
(v)

F

=

63°

Question 20

20.

In △ABC, if ∠A = 40° and ∠B = ∠C, find the measure of each of the equal angles of the triangle

(i)

71°
(ii)

69°
(iii)

72°
(iv)

70°
(v)

68°

Question 21

21.

One angle of a triangle measures 60° and the other two angles are in the ratio 3 : 5. Find these angles.

(i)

B

=

47°

,

C

=

77°
(ii)

B

=

44°

,

C

=

74°
(iii)

B

=

45°

,

C

=

75°
(iv)

B

=

46°

,

C

=

76°
(v)

B

=

43°

,

C

=

73°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 1 : 5. Find these angles.

(i)

A

=

16°

,

C

=

76°
(ii)

A

=

17°

,

C

=

77°
(iii)

A

=

13°

,

C

=

73°
(iv)

A

=

14°

,

C

=

74°
(v)

A

=

15°

,

C

=

75°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 44°. Find the measure of each angle of the triangle.

(i)

A

=

46°

,

B

=

44°

,

C

=

90°
(ii)

A

=

44°

,

B

=

42°

,

C

=

94°
(iii)

A

=

42°

,

B

=

44°

,

C

=

94°
(iv)

A

=

44°

,

B

=

44°

,

C

=

92°
(v)

A

=

42°

,

B

=

46°

,

C

=

92°

Question 24

24.

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

(i)

47°
(ii)

44°
(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)

58°
(ii)

60°
(iii)

59°
(iv)

62°
(v)

61°

Question 26

26.

In a right-angled triangle if one of the acute angles is 29°, find the measure of the other acute angle.

(i)

60°
(ii)

59°
(iii)

63°
(iv)

62°
(v)

61°

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

=

118°

,

B

=

32°

,

C

=

30°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

122°

,

B

=

30°

,

C

=

28°
(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

=

20°

,

B

=

80°

,

C

=

80°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

22°

,

B

=

80°

,

C

=

78°
(v)

A

=

18°

,

B

=

82°

,

C

=

80°

Question 29

29.

The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle

(i)

A

=

48°

,

B

=

65°

,

C

=

67°
(ii)

A

=

48°

,

B

=

67°

,

C

=

65°
(iii)

A

=

50°

,

B

=

63°

,

C

=

67°
(iv)

A

=

50°

,

B

=

65°

,

C

=

65°
(v)

A

=

52°

,

B

=

65°

,

C

=

63°

Question 30

30.

In the given figure, find ∠KLJ

(i)

57°
(ii)

56°
(iii)

55°
(iv)

53°
(v)

54°

Question 31

31.

In the given figure, find ∠LJK

(i)

127°
(ii)

125°
(iii)

123°
(iv)

124°
(v)

126°

Question 32

32.

In the given figure, find ∠KLJ

(i)

35°
(ii)

33°
(iii)

36°
(iv)

34°
(v)

37°

Question 33

33.

In the given figure, find ∠FJI

(i)

150°
(ii)

149°
(iii)

151°
(iv)

152°
(v)

153°

Question 34

34.

In the given figure , if JG ⟂ HI and ∠GHJ = 43.63°, find ∠JGH

(i)

48.37°
(ii)

45.37°
(iii)

46.37°
(iv)

47.37°
(v)

44.37°

Question 35

35.

In the given figure , if JG ⟂ HI and ∠GHJ = 58.83°, find ∠IGJ

(i)

20.95°
(ii)

17.95°
(iii)

21.95°
(iv)

18.95°
(v)

19.95°

Question 36

36.

In the given figure , if FC ⟂ DE and ∠CDF = 56.07°, find ∠FEC

(i)

66.02°
(ii)

69.02°
(iii)

68.02°
(iv)

67.02°
(v)

70.02°

Question 37

37.

In below given figure, find ∠ADC

(i)

128.92°
(ii)

131.92°
(iii)

130.92°
(iv)

129.92°
(v)

127.92°

Question 38

38.

In below given figure, find ∠MJK

(i)

62.66°
(ii)

61.66°
(iii)

59.66°
(iv)

63.66°
(v)

60.66°

Question 39

39.

In below given figure, find ∠ECG

(i)

113.41°
(ii)

112.41°
(iii)

116.41°
(iv)

115.41°
(v)

114.41°

Question 40

40.

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

(i)

x

=

19.84°

,

y

=

66.95°
(ii)

x

=

21.84°

,

y

=

68.95°
(iii)

x

=

20.84°

,

y

=

67.95°
(iv)

x

=

22.84°

,

y

=

69.95°
(v)

x

=

23.84°

,

y

=

70.95°

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

=

24°
(ii)

x

=

27°
(iii)

x

=

25°
(iv)

x

=

28°
(v)

x

=

26°

Question 43

43.

In the given figure, if FD = FG = GE, find the value of x

(i)

x

=

27°
(ii)

x

=

26°
(iii)

x

=

30°
(iv)

x

=

28°
(v)

x

=

29°

Question 44

44.

In the given figure, if IF = GI and FJ = JH , find the value of x.

(i)

x

=

61°
(ii)

x

=

58°
(iii)

x

=

62°
(iv)

x

=

59°
(v)

x

=

60°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

113°

,

y

=

48°
(ii)

x

=

114°

,

y

=

49°
(iii)

x

=

115°

,

y

=

50°
(iv)

x

=

117°

,

y

=

52°
(v)

x

=

116°

,

y

=

51°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

105°

,

y

=

105°
(ii)

x

=

104°

,

y

=

104°
(iii)

x

=

108°

,

y

=

108°
(iv)

x

=

107°

,

y

=

107°
(v)

x

=

106°

,

y

=

106°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

122°

,

y

=

153°
(ii)

x

=

121°

,

y

=

152°
(iii)

x

=

120°

,

y

=

151°
(iv)

x

=

124°

,

y

=

155°
(v)

x

=

123°

,

y

=

154°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

88°

,

y

=

112°
(ii)

x

=

87°

,

y

=

111°
(iii)

x

=

89°

,

y

=

113°
(iv)

x

=

90°

,

y

=

114°
(v)

x

=

86°

,

y

=

110°

Assignment Key