EduSahara™ Worksheet

Question 1

1.

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

(i)

76°
(ii)

74°
(iii)

75°
(iv)

78°
(v)

77°

Question 2

2.

The angles of a triangle ABC are in the ratio 3 : 6 : 9. Find the measure of each angle of the triangle

(i)

A

=

32°

,

B

=

60°

,

C

=

88°
(ii)

A

=

28°

,

B

=

62°

,

C

=

90°
(iii)

A

=

30°

,

B

=

60°

,

C

=

90°
(iv)

A

=

28°

,

B

=

60°

,

C

=

92°
(v)

A

=

30°

,

B

=

58°

,

C

=

92°

Question 3

3.

Find the unknown angle from the following figure

(i)

x

=

51.34°
(ii)

x

=

52.34°
(iii)

x

=

50.34°
(iv)

x

=

53.34°
(v)

x

=

49.34°

Question 4

4.

In the given figure, △CDE in which side DE has been produced to F. If ∠ECD = x° , ∠CDE = (2/5a)° , ∠DEC = (1/3a)° and ∠CEF = (13/15a)°, find the values of a and x.

(i)

a

=

148°

,

x

=

68°
(ii)

a

=

149°

,

x

=

69°
(iii)

a

=

152°

,

x

=

72°
(iv)

a

=

151°

,

x

=

71°
(v)

a

=

150°

,

x

=

70°

Question 5

5.

Find the angles of the triangle

(i)

F

=

18°

,

G

=

40°

,

H

=

122°
(ii)

F

=

20°

,

G

=

40°

,

H

=

120°
(iii)

F

=

18°

,

G

=

42°

,

H

=

120°
(iv)

F

=

20°

,

G

=

38°

,

H

=

122°
(v)

F

=

22°

,

G

=

40°

,

H

=

118°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

58.18°
(ii)

x

=

60.18°
(iii)

x

=

59.18°
(iv)

x

=

57.18°
(v)

x

=

56.18°

Question 7

7.

Calculate the value of x in the following figure

(i)

x

=

39.71°
(ii)

x

=

42.71°
(iii)

x

=

41.71°
(iv)

x

=

43.71°
(v)

x

=

40.71°

Question 8

8.

Find the unknown marked angle in the following figure

(i)

x

=

46.65°
(ii)

x

=

45.65°
(iii)

x

=

47.65°
(iv)

x

=

49.65°
(v)

x

=

48.65°

Question 9

9.

Find the unknown angles in the following figure

(i)

A

=

59°

,

B

=

59°
(ii)

A

=

58°

,

B

=

58°
(iii)

A

=

57°

,

B

=

57°
(iv)

A

=

60°

,

B

=

60°
(v)

A

=

61°

,

B

=

61°

Question 10

10.

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

(i)

M

=

22°

,

N

=

35°

,

O

=

123°
(ii)

M

=

18°

,

N

=

35°

,

O

=

127°
(iii)

M

=

20°

,

N

=

35°

,

O

=

125°
(iv)

M

=

18°

,

N

=

37°

,

O

=

125°
(v)

M

=

20°

,

N

=

33°

,

O

=

127°

Question 11

11.

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

(i)

D

=

54°

,

E

=

43°

,

F

=

83°
(ii)

D

=

52°

,

E

=

45°

,

F

=

83°
(iii)

D

=

56°

,

E

=

45°

,

F

=

79°
(iv)

D

=

52°

,

E

=

47°

,

F

=

81°
(v)

D

=

54°

,

E

=

45°

,

F

=

81°

Question 12

12.

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

(i)

x

=

25°

,

y

=

33°

,

z

=

122°
(ii)

x

=

23°

,

y

=

35°

,

z

=

122°
(iii)

x

=

27°

,

y

=

35°

,

z

=

118°
(iv)

x

=

25°

,

y

=

35°

,

z

=

120°
(v)

x

=

23°

,

y

=

37°

,

z

=

120°

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

=

43°

,

y

=

79°
(iii)

x

=

46°

,

y

=

82°
(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

=

59.17°
(ii)

x

=

62.17°
(iii)

x

=

58.17°
(iv)

x

=

60.17°
(v)

x

=

61.17°

Question 15

15.

In the given triangle, ∠A = 68°. Find the measure of ∠B and ∠C

(i)

∠B = ∠C = 54°
(ii)

∠B = ∠C = 56°
(iii)

∠B = ∠C = 55°
(iv)

∠B = ∠C = 57°
(v)

∠B = ∠C = 58°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

68.25°
(ii)

x

=

69.25°
(iii)

x

=

66.25°
(iv)

x

=

67.25°
(v)

x

=

70.25°

Question 17

17.

Find the unknown angle in the following figure

(i)

x

=

92°
(ii)

x

=

89°
(iii)

x

=

88°
(iv)

x

=

90°
(v)

x

=

91°

Question 18

18.

Find the unknown angle in the following figure

(i)

x

=

136°
(ii)

x

=

137°
(iii)

x

=

133°
(iv)

x

=

134°
(v)

x

=

135°

Question 19

19.

In △IJK, if ∠I = 63° and ∠J = 58°, find the measure of ∠K

(i)

K

=

57°
(ii)

K

=

61°
(iii)

K

=

58°
(iv)

K

=

60°
(v)

K

=

59°

Question 20

20.

In △BCD, if ∠B = 80° and ∠C = ∠D, find the measure of each of the equal angles of the triangle

(i)

52°
(ii)

51°
(iii)

49°
(iv)

50°
(v)

48°

Question 21

21.

One angle of a triangle measures 54° and the other two angles are in the ratio 2 : 5. Find these angles.

(i)

B

=

37°

,

C

=

91°
(ii)

B

=

35°

,

C

=

89°
(iii)

B

=

34°

,

C

=

88°
(iv)

B

=

36°

,

C

=

90°
(v)

B

=

38°

,

C

=

92°

Question 22

22.

In a right-angled triangle, the two acute angles are in the ratio 1 : 8. Find these angles.

(i)

A

=

9°

,

C

=

79°
(ii)

A

=

12°

,

C

=

82°
(iii)

A

=

10°

,

C

=

80°
(iv)

A

=

11°

,

C

=

81°
(v)

A

=

8°

,

C

=

78°

Question 23

23.

One of the two equal angles of an isosceles triangle measures 70°. Find the measure of each angle of the triangle.

(i)

A

=

70°

,

B

=

68°

,

C

=

42°
(ii)

A

=

72°

,

B

=

70°

,

C

=

38°
(iii)

A

=

68°

,

B

=

70°

,

C

=

42°
(iv)

A

=

70°

,

B

=

70°

,

C

=

40°
(v)

A

=

68°

,

B

=

72°

,

C

=

40°

Question 24

24.

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

(i)

45°
(ii)

43°
(iii)

46°
(iv)

47°
(v)

44°

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)

59°
(ii)

61°
(iii)

58°
(iv)

60°
(v)

62°

Question 26

26.

In a right-angled triangle if one of the acute angles is 40°, find the measure of the other acute angle.

(i)

48°
(ii)

51°
(iii)

52°
(iv)

49°
(v)

50°

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

=

122°

,

B

=

30°

,

C

=

28°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

120°

,

B

=

28°

,

C

=

32°
(v)

A

=

118°

,

B

=

32°

,

C

=

30°

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

=

18°

,

B

=

80°

,

C

=

82°
(iii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iv)

A

=

20°

,

B

=

80°

,

C

=

80°
(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 7 : 4. Find each angle of the triangle

(i)

A

=

38°

,

B

=

70°

,

C

=

72°
(ii)

A

=

42°

,

B

=

70°

,

C

=

68°
(iii)

A

=

40°

,

B

=

68°

,

C

=

72°
(iv)

A

=

38°

,

B

=

72°

,

C

=

70°
(v)

A

=

40°

,

B

=

70°

,

C

=

70°

Question 30

30.

In the given figure, find ∠HIG

(i)

54°
(ii)

53°
(iii)

52°
(iv)

50°
(v)

51°

Question 31

31.

In the given figure, find ∠NLM

(i)

126°
(ii)

127°
(iii)

128°
(iv)

129°
(v)

130°

Question 32

32.

In the given figure, find ∠KLJ

(i)

45°
(ii)

47°
(iii)

46°
(iv)

48°
(v)

44°

Question 33

33.

In the given figure, find ∠GKJ

(i)

147°
(ii)

150°
(iii)

151°
(iv)

149°
(v)

148°

Question 34

34.

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

(i)

35.65°
(ii)

33.65°
(iii)

36.65°
(iv)

32.65°
(v)

34.65°

Question 35

35.

In the given figure , if JG ⟂ HI and ∠GHJ = 57.23°, find ∠IGJ

(i)

19.12°
(ii)

23.12°
(iii)

22.12°
(iv)

21.12°
(v)

20.12°

Question 36

36.

In the given figure , if IF ⟂ GH and ∠FGI = 53.94°, find ∠IHF

(i)

66.40°
(ii)

67.40°
(iii)

68.40°
(iv)

64.40°
(v)

65.40°

Question 37

37.

In below given figure, find ∠JML

(i)

123.29°
(ii)

125.29°
(iii)

122.29°
(iv)

124.29°
(v)

126.29°

Question 38

38.

In below given figure, find ∠DAB

(i)

69.99°
(ii)

65.99°
(iii)

68.99°
(iv)

66.99°
(v)

67.99°

Question 39

39.

In below given figure, find ∠GEI

(i)

89.73°
(ii)

90.73°
(iii)

86.73°
(iv)

87.73°
(v)

88.73°

Question 40

40.

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

(i)

x

=

21.45°

,

y

=

55.9°
(ii)

x

=

19.45°

,

y

=

53.9°
(iii)

x

=

18.45°

,

y

=

52.9°
(iv)

x

=

17.45°

,

y

=

51.9°
(v)

x

=

20.45°

,

y

=

54.9°

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

=

88°

,

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

=

43°

,

Y

=

90°

,

Z

=

47°

Question 42

42.

In the given figure, find the value of x.

(i)

x

=

128°
(ii)

x

=

126°
(iii)

x

=

124°
(iv)

x

=

127°
(v)

x

=

125°

Question 43

43.

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

(i)

x

=

42°
(ii)

x

=

41°
(iii)

x

=

40°
(iv)

x

=

39°
(v)

x

=

38°

Question 44

44.

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

(i)

x

=

56.44°
(ii)

x

=

55.44°
(iii)

x

=

52.44°
(iv)

x

=

54.44°
(v)

x

=

53.44°

Question 45

45.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

38°
(ii)

x

=

112°

,

y

=

42°
(iii)

x

=

110°

,

y

=

40°
(iv)

x

=

111°

,

y

=

41°
(v)

x

=

109°

,

y

=

39°

Question 46

46.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

114°
(ii)

x

=

113°

,

y

=

113°
(iii)

x

=

117°

,

y

=

117°
(iv)

x

=

115°

,

y

=

115°
(v)

x

=

116°

,

y

=

116°

Question 47

47.

Find the unknown marked angles in the following figure

(i)

x

=

104°

,

y

=

150°
(ii)

x

=

102°

,

y

=

148°
(iii)

x

=

100°

,

y

=

146°
(iv)

x

=

103°

,

y

=

149°
(v)

x

=

101°

,

y

=

147°

Question 48

48.

Find the unknown marked angles in the following figure

(i)

x

=

89°

,

y

=

112°
(ii)

x

=

90°

,

y

=

113°
(iii)

x

=

88°

,

y

=

111°
(iv)

x

=

87°

,

y

=

110°
(v)

x

=

91°

,

y

=

114°

Assignment Key