EduSahara™ Worksheet

Question 1

1.

In below given figure, find ∠IFG

(i)

95.12°
(ii)

94.12°
(iii)

92.12°
(iv)

96.12°
(v)

93.12°

Question 2

2.

In the following figure AB ∥ DC, find the values of x and y.

(i)

x

=

40°

,

y

=

100°
(ii)

x

=

41°

,

y

=

101°
(iii)

x

=

38°

,

y

=

98°
(iv)

x

=

39°

,

y

=

99°
(v)

x

=

42°

,

y

=

102°

Question 3

3.

Which of the following are measures of an obtuse angled triangle ?

(i)

∠N = 45° , ∠O = 90° , ∠P = 45°
(ii)

∠N = 122.01° , ∠O = 35.32° , ∠P = 22.67°
(iii)

∠N = 53.13° , ∠O = 67.38° , ∠P = 59.49°
(iv)

∠N = 75.31° , ∠O = 40.16° , ∠P = 64.53°
(v)

∠N = 35.54° , ∠O = 90° , ∠P = 54.46°

Question 4

4.

Which of the following are measures of an isosceles right angled triangle ?

(i)

∠A = 69.07° , ∠B = 69.08° , ∠C = 41.85°
(ii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iii)

∠A = 45° , ∠B = 90° , ∠C = 45°
(iv)

∠A = 45.21° , ∠B = 83.47° , ∠C = 51.32°
(v)

∠A = 109.08° , ∠B = 33.95° , ∠C = 36.97°

Question 5

5.

Find the unknown angles in the following figure

(i)

A

=

41°

,

B

=

41°
(ii)

A

=

39°

,

B

=

39°
(iii)

A

=

40°

,

B

=

40°
(iv)

A

=

42°

,

B

=

42°
(v)

A

=

38°

,

B

=

38°

Question 6

6.

If all the three angles of a triangle are of the same measure, find the measure of each of the angles.

(i)

62°
(ii)

61°
(iii)

58°
(iv)

60°
(v)

59°

Question 7

7.

Which of the following are measures of a scalene triangle ?

(i)

BC = 15 cm , CD = 10 cm , DB = 14 cm
(ii)

BC = 12 cm , CD = 13 cm , DB = 12 cm
(iii)

BC = 14 cm , CD = 14 cm , DB = 19.8 cm
(iv)

BC = 15 cm , CD = 15 cm , DB = 15 cm
(v)

BC = 11 cm , CD = 12 cm , DB = 11 cm

Question 8

8.

In the given figure, if DG = HD, find the values of x , y , z and t

(i)

x =43.5°, y =24.15°, z =23.79° , t =112.75°
(ii)

x =43.5°, y =26.15°, z =24.79° , t =111.75°
(iii)

x =43.5°, y =22.15°, z =20.79° , t =111.75°
(iv)

x =43.5°, y =24.15°, z =21.79° , t =110.75°
(v)

x =43.5°, y =24.15°, z =22.79° , t =111.75°

Question 9

9.

The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.

(i)

A

=

122°

,

B

=

30°

,

C

=

28°
(ii)

A

=

120°

,

B

=

28°

,

C

=

32°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

120°

,

B

=

30°

,

C

=

30°
(v)

A

=

118°

,

B

=

32°

,

C

=

30°

Question 10

10.

In the given figure , if LI ⟂ JK and ∠IJL = 50.35°, find ∠LKI

(i)

62.56°
(ii)

64.56°
(iii)

61.56°
(iv)

63.56°
(v)

65.56°

Question 11

11.

In the given figure, calculate the value of x.

(i)

x

=

141°
(ii)

x

=

140°
(iii)

x

=

144°
(iv)

x

=

143°
(v)

x

=

142°

Question 12

12.

Which of the following are measures of an isosceles right angled triangle ?

(i)

LM = 13 cm , MN = 20 cm , NL = 11 cm
(ii)

LM = 11 cm , MN = 11 cm , NL = 11 cm
(iii)

LM = 14 cm , MN = 15 cm , NL = 11 cm
(iv)

LM = 14 cm , MN = 14 cm , NL = 19.8 cm
(v)

LM = 12 cm , MN = 14 cm , NL = 15 cm

Question 13

13.

In the given figure, calculate the value of x.

(i)

x

=

23.5°
(ii)

x

=

21.5°
(iii)

x

=

24.5°
(iv)

x

=

22.5°
(v)

x

=

20.5°

Question 14

14.

Find the value of x in the given figure.

(i)

x

=

18°
(ii)

x

=

17°
(iii)

x

=

19°
(iv)

x

=

20°
(v)

x

=

16°

Question 15

15.

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

(i)

x

=

44°

,

y

=

32°

,

z

=

80°
(ii)

x

=

44°

,

y

=

34°

,

z

=

78°
(iii)

x

=

42°

,

y

=

34°

,

z

=

80°
(iv)

x

=

42°

,

y

=

36°

,

z

=

78°
(v)

x

=

46°

,

y

=

34°

,

z

=

76°

Question 16

16.

The altitude corresponding to the side
EF

(i)

GJ
(ii)

EI
(iii)

EF
(iv)

FI
(v)

EH

Question 17

17.

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

(i)

D

=

55°

,

E

=

40°

,

F

=

85°
(ii)

D

=

53°

,

E

=

42°

,

F

=

85°
(iii)

D

=

57°

,

E

=

40°

,

F

=

83°
(iv)

D

=

53°

,

E

=

40°

,

F

=

87°
(v)

D

=

55°

,

E

=

38°

,

F

=

87°

Question 18

18.

In the given figure, find ∠OMN

(i)

106°
(ii)

108°
(iii)

107°
(iv)

105°
(v)

109°

Question 19

19.

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

(i)

46°
(ii)

47°
(iii)

45°
(iv)

43°
(v)

44°

Question 20

20.

Consider the following figure. State which of the following statements are true

a)

RP
=
PQ

b)

RP
≠
PQ

c)

PQ
≠
QR

d)

PQ
=
QR

e)

QR
≠
RP

f)

QR
=
RP

(i)

{b,c,e}
(ii)

{f,a,e}
(iii)

{d,c}
(iv)

{a,b}
(v)

{d,b,c}

Question 21

21.

Find the unknown marked angles in the following figure

(i)

x

=

111°

,

y

=

40°
(ii)

x

=

108°

,

y

=

37°
(iii)

x

=

107°

,

y

=

36°
(iv)

x

=

109°

,

y

=

38°
(v)

x

=

110°

,

y

=

39°

Question 22

22.

Which of the following are measures of an equilateral triangle ?

(i)

GH = 15 cm , HI = 11 cm , IG = 13 cm
(ii)

GH = 11 cm , HI = 11 cm , IG = 11 cm
(iii)

GH = 10 cm , HI = 12 cm , IG = 10 cm
(iv)

GH = 10 cm , HI = 10 cm , IG = 14.14 cm
(v)

GH = 12 cm , HI = 10 cm , IG = 15.62 cm

Question 23

23.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 76.33° , ∠B = 55.3° , ∠C = 48.37°
(ii)

∠A = 49.4° , ∠B = 90° , ∠C = 40.6°
(iii)

∠A = 47.16° , ∠B = 66.42° , ∠C = 66.42°
(iv)

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 24

24.

The median corresponding to the side
BC

(i)

BE
(ii)

AB
(iii)

CF
(iv)

AD
(v)

AE

Question 25

25.

In △JKL, if ∠J = 53° and ∠K = 68°, find the measure of ∠L

(i)

L

=

57°
(ii)

L

=

58°
(iii)

L

=

61°
(iv)

L

=

59°
(v)

L

=

60°

Assignment Key