EduSahara™ Worksheet

Question 1

1.

The measures of three angles of a quadrilateral are
67.97°
,
117.24°
and
64.63°
. Find the fourth angle

(i)

120.16°
(ii)

110.16°
(iii)

115.16°
(iv)

125.16°
(v)

140.16°

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

375°
(iii)

370°
(iv)

360°
(v)

365°

Question 3

3.

Find the missing angle in the given quadrilateral

(i)

60.09°
(ii)

70.09°
(iii)

55.09°
(iv)

65.09°
(v)

85.09°

Question 4

4.

Find the missing angle in the given trapezium

(i)

100.33°
(ii)

115.33°
(iii)

130.33°
(iv)

110.33°
(v)

105.33°

Question 5

5.

Find the missing angle in the given parallelogram

(i)

150.17°
(ii)

125.17°
(iii)

120.17°
(iv)

130.17°
(v)

135.17°

Question 6

6.

Find the missing angle in the given rhombus

(i)

138.3°
(ii)

148.3°
(iii)

163.3°
(iv)

143.3°
(v)

133.3°

Question 7

7.

In parallelogram ABCD, if ∠B = 125.15°, then find the value of ∠D

(i)

124.15°
(ii)

127.15°
(iii)

125.15°
(iv)

126.15°
(v)

123.15°

Question 8

8.

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

(i)

90°
(ii)

88°
(iii)

92°
(iv)

89°
(v)

91°

Question 9

9.

If ABCD is an isosceles trapezium, ∠B =

(i)

∠D
(ii)

∠C
(iii)

∠A
(iv)

90°

Question 10

10.

KLMN is a rhombus in which ∠K = 120° .

LN

is the diagonal. Then △KLM is

(i)

a scalene triangle
(ii)

an obtuse angled triangle
(iii)

None of these
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 11

11.

GHIJ is a rhombus in which ∠G = 97° .

HJ

is the diagonal. Then △GHI is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

None of these
(iv)

a scalene triangle
(v)

an equilateral triangle

Question 12

12.

The angles of a quadrilateral BCDE are in the ratio 12 : 49 : 17 : 102. Find the measure of each angle of the quadrilateral.

(i)

B

=

24°

,

C

=

98°

,

D

=

34°

,

E

=

204°
(ii)

B

=

25°

,

C

=

97°

,

D

=

36°

,

E

=

202°
(iii)

B

=

26°

,

C

=

97°

,

D

=

32°

,

E

=

205°
(iv)

B

=

22°

,

C

=

100°

,

D

=

33°

,

E

=

205°
(v)

B

=

23°

,

C

=

96°

,

D

=

35°

,

E

=

206°

Question 13

13.

Two adjacent angles of a parallelogram GHIJ are in the ratio 4 : 8. Find the measure of each of its angles.

(i)

G

=

61°

,

H

=

119°

,

I

=

62°

,

J

=

118°
(ii)

G

=

60°

,

H

=

120°

,

I

=

60°

,

J

=

120°
(iii)

G

=

62°

,

H

=

119°

,

I

=

58°

,

J

=

121°
(iv)

G

=

58°

,

H

=

122°

,

I

=

59°

,

J

=

121°
(v)

G

=

59°

,

H

=

118°

,

I

=

61°

,

J

=

122°

Question 14

14.

In the adjoining figure,
MNOP
is a parallelogram in which

(i)

40.88°
(ii)

41.88°
(iii)

38.88°
(iv)

37.88°
(v)

39.88°

Question 15

15.

In the adjoining figure,
CDEF
is a parallelogram in which

(i)

61.80°
(ii)

65.80°
(iii)

64.80°
(iv)

63.80°
(v)

62.80°

Question 16

16.

In the adjoining figure,
GHIJ
is a parallelogram in which

(i)

51.26°
(ii)

52.26°
(iii)

54.26°
(iv)

55.26°
(v)

53.26°

Question 17

17.

In the adjoining figure,
EFGH
is a parallelogram in which

(i)

59.04°
(ii)

60.04°
(iii)

61.04°
(iv)

62.04°
(v)

58.04°

Question 18

18.

(i)

42.26°
(ii)

41.26°
(iii)

44.26°
(iv)

43.26°
(v)

45.26°

Question 19

19.

Three angles of quadrilateral measure 135.3°, 148.2° and 31.29° respectively. Find the measure of the fourth angle

(i)

43.21°
(ii)

45.21°
(iii)

44.21°
(iv)

47.21°
(v)

46.21°

Question 20

20.

Three angles of a quadrilateral are equal and the fourth angle measure 55.64°. What is the measure of each of the equal angles?

(i)

99.45°
(ii)

100.45°
(iii)

103.45°
(iv)

102.45°
(v)

101.45°

Question 21

21.

Two angles of a quadrilateral are of measure 39.4° and 148.8° respectively and the other two angles are equal. Find the measure of each of the equal angles.

(i)

85.90°
(ii)

86.90°
(iii)

87.90°
(iv)

84.90°
(v)

83.90°

Question 22

22.

A quadrilateral has three acute angles, each measuring 43°. What is the measure of its fourth angle?

(i)

233.00°
(ii)

231.00°
(iii)

230.00°
(iv)

229.00°
(v)

232.00°

Question 23

23.

One angle of a parallelogram measures
O
=
49.32°
.

Find the measure of each of its remaining angles.

(i)

P

=

128.68°

,

Q

=

47.32°

,

R

=

128.68°
(ii)

P

=

129.68°

,

Q

=

48.32°

,

R

=

129.68°
(iii)

P

=

130.68°

,

Q

=

49.32°

,

R

=

130.68°
(iv)

P

=

131.68°

,

Q

=

50.32°

,

R

=

131.68°
(v)

P

=

132.68°

,

Q

=

51.32°

,

R

=

132.68°

Question 24

24.

Two adjacent angles of a parallelogram are in the ratio
27 : 63
.

Find the measure of each of its angles.

(i)

A

=

54°

,

B

=

126°

,

C

=

54°

,

D

=

126°
(ii)

A

=

53°

,

B

=

124°

,

C

=

55°

,

D

=

128°
(iii)

A

=

55°

,

B

=

125°

,

C

=

56°

,

D

=

124°
(iv)

A

=

56°

,

B

=

125°

,

C

=

52°

,

D

=

127°
(v)

A

=

52°

,

B

=

128°

,

C

=

53°

,

D

=

127°

Question 25

25.

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

(i)

x

=

49.76°

,

y

=

99.52°
(ii)

x

=

47.76°

,

y

=

97.52°
(iii)

x

=

50.76°

,

y

=

100.52°
(iv)

x

=

51.76°

,

y

=

101.52°
(v)

x

=

48.76°

,

y

=

98.52°

Question 26

26.

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

(i)

x

=

35.54°

,

y

=

54.46°
(ii)

x

=

34.54°

,

y

=

53.46°
(iii)

x

=

36.54°

,

y

=

55.46°
(iv)

x

=

37.54°

,

y

=

56.46°
(v)

x

=

33.54°

,

y

=

52.46°

Question 27

27.

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

(i)

x

=

17.44°

,

y

=

17.44°
(ii)

x

=

19.44°

,

y

=

19.44°
(iii)

x

=

20.44°

,

y

=

20.44°
(iv)

x

=

18.44°

,

y

=

18.44°
(v)

x

=

16.44°

,

y

=

16.44°

Question 28

28.

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

(i)

x

=

55.19°

,

y

=

55.19°
(ii)

x

=

56.19°

,

y

=

56.19°
(iii)

x

=

53.19°

,

y

=

53.19°
(iv)

x

=

54.19°

,

y

=

54.19°
(v)

x

=

52.19°

,

y

=

52.19°

Question 29

29.

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

(i)

x

=

40.84°

,

y

=

53.16°
(ii)

x

=

38.84°

,

y

=

51.16°
(iii)

x

=

39.84°

,

y

=

52.16°
(iv)

x

=

36.84°

,

y

=

49.16°
(v)

x

=

37.84°

,

y

=

50.16°

Question 30

30.

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

(i)

A

=

61°

,

B

=

119°

,

C

=

62°

,

D

=

118°
(ii)

A

=

62°

,

B

=

119°

,

C

=

58°

,

D

=

121°
(iii)

A

=

60°

,

B

=

120°

,

C

=

60°

,

D

=

120°
(iv)

A

=

59°

,

B

=

118°

,

C

=

61°

,

D

=

122°
(v)

A

=

58°

,

B

=

122°

,

C

=

59°

,

D

=

121°

Question 31

31.

In the adjoining figure,
HIJK
is a trapezium in which
HI

∥

JK
.

(i)

H

=

55.75°

,

I

=

84.94°
(ii)

H

=

54.75°

,

I

=

83.94°
(iii)

H

=

52.75°

,

I

=

81.94°
(iv)

H

=

51.75°

,

I

=

80.94°
(v)

H

=

53.75°

,

I

=

82.94°

Question 32

32.

If ∠OCD = 43.48° and ∠ABO = 52.04°, find the measure of each of the angles marked a,b,c,d and e.

(i)

a = 46.52° , b = 38.96° , c = 51.04° , d = 48.52° , e = 41.48°
(ii)

a = 46.52° , b = 38.96° , c = 51.04° , d = 48.52° , e = 43.48°
(iii)

a = 46.52° , b = 37.96° , c = 52.04° , d = 46.52° , e = 43.48°
(iv)

a = 46.52° , b = 38.96° , c = 52.04° , d = 46.52° , e = 43.48°
(v)

a = 46.52° , b = 38.96° , c = 51.04° , d = 46.52° , e = 43.48°

Question 33

33.

In the adjoining figure, side LM of parallelogram KLMN has been produced to O. If ∠KLO = 57.89° , find the measure of each angle of the parallelogram.

(i)

K

=

55.89°

,

L

=

124.11°

,

M

=

56.89°

,

N

=

123.11°
(ii)

K

=

59.89°

,

L

=

121.11°

,

M

=

55.89°

,

N

=

123.11°
(iii)

K

=

58.89°

,

L

=

121.11°

,

M

=

59.89°

,

N

=

120.11°
(iv)

K

=

56.89°

,

L

=

120.11°

,

M

=

58.89°

,

N

=

124.11°
(v)

K

=

57.89°

,

L

=

122.11°

,

M

=

57.89°

,

N

=

122.11°

Question 34

34.

(i)

136.88°
(ii)

137.88°
(iii)

133.88°
(iv)

134.88°
(v)

135.88°

Question 35

35.

In the adjoining figure, EFGH is a square. A line segment HJ cuts the side FG at J and the diagonal EG at I such that ∠HIG = 94.29° and ∠IJG = x°. Find the value of x .

(i)

49.29°
(ii)

50.29°
(iii)

47.29°
(iv)

48.29°
(v)

51.29°

Question 36

36.

In the adjoining figure, NOPQ is a rhombus and △RQP is an equilateral triangle. R and O are on opposite sides of PQ. If ∠QNO = 77.43°, find the values of x and y .