EduSahara™ Worksheet

Question 1

1.

The measures of three angles of a quadrilateral are
61.26°
,
143.58°
and
61.26°
. Find the fourth angle

(i)

103.9°
(ii)

123.9°
(iii)

108.9°
(iv)

98.9°
(v)

93.9°

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

370°
(iii)

375°
(iv)

365°
(v)

390°

Question 3

3.

Find the missing angle in the given quadrilateral

(i)

62.06°
(ii)

57.06°
(iii)

72.06°
(iv)

87.06°
(v)

67.06°

Question 4

4.

Find the missing angle in the given trapezium

(i)

117.46°
(ii)

102.46°
(iii)

107.46°
(iv)

132.46°
(v)

112.46°

Question 5

5.

Find the missing angle in the given parallelogram

(i)

56.09°
(ii)

81.09°
(iii)

51.09°
(iv)

61.09°
(v)

66.09°

Question 6

6.

Find the missing angle in the given rhombus

(i)

82.43°
(ii)

107.43°
(iii)

77.43°
(iv)

87.43°
(v)

92.43°

Question 7

7.

In parallelogram ABCD, if ∠B = 145.78°, then find the value of ∠C

(i)

32.22°
(ii)

35.22°
(iii)

36.22°
(iv)

33.22°
(v)

34.22°

Question 8

8.

If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is

(i)

88°
(ii)

92°
(iii)

89°
(iv)

90°
(v)

91°

Question 9

9.

If ABCD is an isosceles trapezium, ∠D =

(i)

90°
(ii)

∠C
(iii)

∠B
(iv)

∠A

Question 10

10.

OPQR is a rhombus in which ∠O = 120° .

PR

is the diagonal. Then △OPQ is

(i)

an equilateral triangle
(ii)

an isosceles triangle
(iii)

a scalene triangle
(iv)

None of these
(v)

an obtuse angled triangle

Question 11

11.

EFGH is a rhombus in which ∠E = 99° .

FH

is the diagonal. Then △EFG is

(i)

None of these
(ii)

an obtuse angled triangle
(iii)

a scalene triangle
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 12

12.

The angles of a quadrilateral CDEF are in the ratio 4 : 3 : 5 : 8. Find the measure of each angle of the quadrilateral.

(i)

C

=

71°

,

D

=

52°

,

E

=

91°

,

F

=

146°
(ii)

C

=

70°

,

D

=

56°

,

E

=

89°

,

F

=

145°
(iii)

C

=

73°

,

D

=

53°

,

E

=

92°

,

F

=

142°
(iv)

C

=

72°

,

D

=

54°

,

E

=

90°

,

F

=

144°
(v)

C

=

74°

,

D

=

53°

,

E

=

88°

,

F

=

145°

Question 13

13.

Two adjacent angles of a parallelogram HIJK are in the ratio 2 : 18. Find the measure of each of its angles.

(i)

H

=

17°

,

I

=

160°

,

J

=

19°

,

K

=

164°
(ii)

H

=

20°

,

I

=

161°

,

J

=

16°

,

K

=

163°
(iii)

H

=

19°

,

I

=

161°

,

J

=

20°

,

K

=

160°
(iv)

H

=

16°

,

I

=

164°

,

J

=

17°

,

K

=

163°
(v)

H

=

18°

,

I

=

162°

,

J

=

18°

,

K

=

162°

Question 14

14.

In the adjoining figure,
JKLM
is a parallelogram in which

(i)

55.01°
(ii)

56.01°
(iii)

54.01°
(iv)

53.01°
(v)

57.01°

Question 15

15.

In the adjoining figure,
FGHI
is a parallelogram in which

(i)

60.49°
(ii)

57.49°
(iii)

59.49°
(iv)

61.49°
(v)

58.49°

Question 16

16.

In the adjoining figure,
JKLM
is a parallelogram in which

(i)

25.59°
(ii)

26.59°
(iii)

27.59°
(iv)

29.59°
(v)

28.59°

Question 17

17.

In the adjoining figure,
FGHI
is a parallelogram in which

(i)

58.56°
(ii)

62.56°
(iii)

59.56°
(iv)

60.56°
(v)

61.56°

Question 18

18.

(i)

37.87°
(ii)

38.87°
(iii)

34.87°
(iv)

35.87°
(v)

36.87°

Question 19

19.

Three angles of quadrilateral measure 102.03°, 64.78° and 120.57° respectively. Find the measure of the fourth angle

(i)

72.62°
(ii)

74.62°
(iii)

71.62°
(iv)

73.62°
(v)

70.62°

Question 20

20.

Three angles of a quadrilateral are equal and the fourth angle measure 101.53°. What is the measure of each of the equal angles?

(i)

86.16°
(ii)

88.16°
(iii)

87.16°
(iv)

84.16°
(v)

85.16°

Question 21

21.

Two angles of a quadrilateral are of measure 70.53° and 137.73° respectively and the other two angles are equal. Find the measure of each of the equal angles.

(i)

74.87°
(ii)

76.87°
(iii)

77.87°
(iv)

75.87°
(v)

73.87°

Question 22

22.

A quadrilateral has three acute angles, each measuring 49°. What is the measure of its fourth angle?

(i)

213.00°
(ii)

212.00°
(iii)

214.00°
(iv)

211.00°
(v)

215.00°

Question 23

23.

One angle of a parallelogram measures
B
=
46.95°
.

Find the measure of each of its remaining angles.

(i)

C

=

135.05°

,

D

=

48.95°

,

E

=

135.05°
(ii)

C

=

132.05°

,

D

=

45.95°

,

E

=

132.05°
(iii)

C

=

131.05°

,

D

=

44.95°

,

E

=

131.05°
(iv)

C

=

133.05°

,

D

=

46.95°

,

E

=

133.05°
(v)

C

=

134.05°

,

D

=

47.95°

,

E

=

134.05°

Question 24

24.

Two adjacent angles of a parallelogram are in the ratio
6 : 6
.

Find the measure of each of its angles.

(i)

A

=

88°

,

B

=

92°

,

C

=

89°

,

D

=

91°
(ii)

A

=

90°

,

B

=

90°

,

C

=

90°

,

D

=

90°
(iii)

A

=

89°

,

B

=

88°

,

C

=

91°

,

D

=

92°
(iv)

A

=

91°

,

B

=

89°

,

C

=

92°

,

D

=

88°
(v)

A

=

92°

,

B

=

89°

,

C

=

88°

,

D

=

91°

Question 25

25.

In the figure given below,
MNOP
is a rectangle.
Find the values of x and y

(i)

x

=

31.69°

,

y

=

65.38°
(ii)

x

=

34.69°

,

y

=

68.38°
(iii)

x

=

33.69°

,

y

=

67.38°
(iv)

x

=

35.69°

,

y

=

69.38°
(v)

x

=

32.69°

,

y

=

66.38°

Question 26

26.

In the figure given below,
EFGH
is a rectangle.
Find the values of x and y

(i)

x

=

40.18°

,

y

=

47.82°
(ii)

x

=

42.18°

,

y

=

49.82°
(iii)

x

=

39.18°

,

y

=

46.82°
(iv)

x

=

43.18°

,

y

=

50.82°
(v)

x

=

41.18°

,

y

=

48.82°

Question 27

27.

In the figure given below,
ABCD
is a rhombus.
Find the values of x and y

(i)

x

=

40.23°

,

y

=

40.23°
(ii)

x

=

39.23°

,

y

=

39.23°
(iii)

x

=

41.23°

,

y

=

41.23°
(iv)

x

=

37.23°

,

y

=

37.23°
(v)

x

=

38.23°

,

y

=

38.23°

Question 28

28.

In the figure given below,
BCDE
is a rhombus.
Find the values of x and y

(i)

x

=

59.97°

,

y

=

59.97°
(ii)

x

=

56.97°

,

y

=

56.97°
(iii)

x

=

55.97°

,

y

=

55.97°
(iv)

x

=

58.97°

,

y

=

58.97°
(v)

x

=

57.97°

,

y

=

57.97°

Question 29

29.

In the figure given below,
CDEF
is a rhombus.
Find the values of x and y

(i)

x

=

25.84°

,

y

=

68.16°
(ii)

x

=

21.84°

,

y

=

64.16°
(iii)

x

=

22.84°

,

y

=

65.16°
(iv)

x

=

23.84°

,

y

=

66.16°
(v)

x

=

24.84°

,

y

=

67.16°

Question 30

30.

One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus

(i)

D

=

61°

,

E

=

119°

,

F

=

62°

,

G

=

118°
(ii)

D

=

62°

,

E

=

119°

,

F

=

58°

,

G

=

121°
(iii)

D

=

58°

,

E

=

122°

,

F

=

59°

,

G

=

121°
(iv)

D

=

60°

,

E

=

120°

,

F

=

60°

,

G

=

120°
(v)

D

=

59°

,

E

=

118°

,

F

=

61°

,

G

=

122°

Question 31

31.

In the adjoining figure,
IJKL
is a trapezium in which
IJ

∥

KL
.

(i)

K

=

109.44°

,

L

=

122.11°
(ii)

K

=

111.44°

,

L

=

124.11°
(iii)

K

=

110.44°

,

L

=

123.11°
(iv)

K

=

107.44°

,

L

=

120.11°
(v)

K

=

108.44°

,

L

=

121.11°

Question 32

32.

If ∠OCD = 35.93° and ∠ABO = 56.66°, find the measure of each of the angles marked a,b,c,d and e.

(i)

a = 54.07° , b = 34.34° , c = 55.66° , d = 54.07° , e = 35.93°
(ii)

a = 54.07° , b = 34.34° , c = 55.66° , d = 56.07° , e = 35.93°
(iii)

a = 54.07° , b = 34.34° , c = 55.66° , d = 56.07° , e = 33.93°
(iv)

a = 54.07° , b = 33.34° , c = 56.66° , d = 54.07° , e = 35.93°
(v)

a = 54.07° , b = 34.34° , c = 56.66° , d = 54.07° , e = 35.93°

Question 33

33.

In the adjoining figure, side HI of parallelogram HIJK has been produced to L. If ∠KHL = 123.82° , find the measure of each angle of the parallelogram.

(i)

H

=

58.18°

,

I

=

122.82°

,

J

=

54.18°

,

K

=

124.82°
(ii)

H

=

54.18°

,

I

=

125.82°

,

J

=

55.18°

,

K

=

124.82°
(iii)

H

=

55.18°

,

I

=

121.82°

,

J

=

57.18°

,

K

=

125.82°
(iv)

H

=

56.18°

,

I

=

123.82°

,

J

=

56.18°

,

K

=

123.82°
(v)

H

=

57.18°

,

I

=

122.82°

,

J

=

58.18°

,

K

=

121.82°

Question 34

34.

(i)

125.37°
(ii)

126.37°
(iii)

127.37°
(iv)

123.37°
(v)

124.37°

Question 35

35.

In the adjoining figure, HIJK is a square. A line segment KM cuts the side IJ at M and the diagonal HJ at L such that ∠KLJ = 95.71° and ∠LMJ = x°. Find the value of x .

(i)

50.71°
(ii)

52.71°
(iii)

49.71°
(iv)

48.71°
(v)

51.71°

Question 36

36.

In the adjoining figure, GHIJ is a rhombus and △KJI is an equilateral triangle. K and H are on opposite sides of IJ. If ∠JGH = 69.63°, find the values of x and y .