EduSahara™ Worksheet

Question 1

1.

In the given figure, find the value of x.

(i)

x

=

24.5°
(ii)

x

=

26.5°
(iii)

x

=

27.5°
(iv)

x

=

23.5°
(v)

x

=

25.5°

Question 2

2.

Which of the following are measures of an isosceles triangle ?

(i)

BC = 15 cm , CD = 13 cm , DB = 19.85 cm
(ii)

BC = 11 cm , CD = 10 cm , DB = 12 cm
(iii)

BC = 10 cm , CD = 10 cm , DB = 10 cm
(iv)

BC = 14 cm , CD = 11 cm , DB = 14 cm
(v)

BC = 10 cm , CD = 11 cm , DB = 14 cm

Question 3

3.

Sum of the interior angles in a triangle is

(i)

190°
(ii)

180°
(iii)

210°
(iv)

185°
(v)

195°

Question 4

4.

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

(i)

∠C = 104.9° , ∠D = 36.03° , ∠E = 39.07°
(ii)

∠C = 48.74° , ∠D = 61.28° , ∠E = 69.98°
(iii)

∠C = 73.62° , ∠D = 50.13° , ∠E = 56.25°
(iv)

∠C = 45° , ∠D = 90° , ∠E = 45°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 5

5.

Find the unknown angles in the following figure

(i)

H

=

60°

,

I

=

60°
(ii)

H

=

59°

,

I

=

59°
(iii)

H

=

58°

,

I

=

58°
(iv)

H

=

61°

,

I

=

61°
(v)

H

=

57°

,

I

=

57°

Question 6

6.

In the given figure, ∠F = 49.78° and ∠G = 65.11°.

Side GH is produced to I, so that ∠GHF and ∠FHI form a linear pair.

(i)

x

=

32.55°

,

y

=

57.45°
(ii)

x

=

30.55°

,

y

=

55.45°
(iii)

x

=

33.55°

,

y

=

58.45°
(iv)

x

=

31.55°

,

y

=

56.45°
(v)

x

=

34.55°

,

y

=

59.45°

Question 7

7.

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

a)

OM
=
MN

b)

NO
≠
OM

c)

NO
=
OM

d)

MN
=
NO

e)

OM
≠
MN

f)

MN
≠
NO

(i)

{b,e,f}
(ii)

{a,b}
(iii)

{c,e}
(iv)

{c,b,e}
(v)

{d,a,f}

Question 8

8.

In a right angled triangle, if the two non-hypotenuse sides are 20 cm and 99 cm, find the hypotenuse

(i)

99.00 cm
(ii)

103.00 cm
(iii)

102.00 cm
(iv)

101.00 cm
(v)

100.00 cm

Question 9

9.

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

(i)

∠J = 106.26° , ∠K = 36.87° , ∠L = 36.87°
(ii)

∠J = 41.08° , ∠K = 58.67° , ∠L = 80.25°
(iii)

∠J = 45° , ∠K = 90° , ∠L = 45°
(iv)

∠J = 56.63° , ∠K = 66.74° , ∠L = 56.63°
(v)

∠J = 60° , ∠K = 60° , ∠L = 60°

Question 10

10.

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

(i)

AB = 11 cm , BC = 11 cm , CA = 14 cm
(ii)

AB = 10 cm , BC = 12 cm , CA = 11 cm
(iii)

AB = 13 cm , BC = 13 cm , CA = 18.38 cm
(iv)

AB = 10 cm , BC = 19 cm , CA = 11 cm
(v)

AB = 11 cm , BC = 11 cm , CA = 11 cm

Question 11

11.

The vertex opposite to the side
IJ

(i)

H
(ii)

JK
(iii)

L
(iv)

I

Question 12

12.

Find the angles of the triangle

(i)

H

=

60°

,

I

=

45°

,

J

=

75°
(ii)

H

=

60°

,

I

=

43°

,

J

=

77°
(iii)

H

=

58°

,

I

=

45°

,

J

=

77°
(iv)

H

=

58°

,

I

=

47°

,

J

=

75°
(v)

H

=

62°

,

I

=

45°

,

J

=

73°

Question 13

13.

In the given figure , if JG ⟂ HI and ∠GHJ = 53.13°, find ∠JGH

(i)

38.87°
(ii)

36.87°
(iii)

37.87°
(iv)

34.87°
(v)

35.87°

Question 14

14.

In the given figure, find ∠BCA

(i)

65°
(ii)

62°
(iii)

64°
(iv)

63°
(v)

66°

Question 15

15.

Find the unknown angle from the following figure

(i)

x

=

77.7°
(ii)

x

=

76.7°
(iii)

x

=

79.7°
(iv)

x

=

78.7°
(v)

x

=

80.7°

Question 16

16.

In the given figure , if HE ⟂ FG and ∠EFH = 47.2°, find ∠HGE

(i)

59.95°
(ii)

60.95°
(iii)

61.95°
(iv)

62.95°
(v)

58.95°

Question 17

17.

Identify the points that are inside the triangle

(i)

{J,M}
(ii)

{H,L}
(iii)

{I,L}
(iv)

{H,K}
(v)

{L,J}

Question 18

18.

In a right-angled triangle, the two acute angles are in the ratio 13 : 5. Find these angles.

(i)

A

=

64°

,

C

=

24°
(ii)

A

=

65°

,

C

=

25°
(iii)

A

=

66°

,

C

=

26°
(iv)

A

=

67°

,

C

=

27°
(v)

A

=

63°

,

C

=

23°

Question 19

19.

In △BCD, if ∠B = 70° and ∠C = 66°, find the measure of ∠D

(i)

D

=

44°
(ii)

D

=

43°
(iii)

D

=

45°
(iv)

D

=

46°
(v)

D

=

42°

Question 20

20.

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

a)	∠G ≠ ∠E
b)	∠E ≠ ∠F
c)	∠F = ∠G
d)	∠E = ∠F
e)	∠F ≠ ∠G
f)	∠G = ∠E

(i)

{c,a}
(ii)

{f,c,e}
(iii)

{a,b,e}
(iv)

{d,a,b}
(v)

{d,b}

Question 21

21.

In a right-angled triangle if one of the acute angles is 50°, find the measure of the other acute angle.

(i)

40°
(ii)

42°
(iii)

39°
(iv)

41°
(v)

38°

Question 22

22.

In the following figure, one side of a triangle has been produced. Find the values of x and y.

(i)

x

=

62°

,

y

=

77°
(ii)

x

=

59°

,

y

=

74°
(iii)

x

=

61°

,

y

=

76°
(iv)

x

=

58°

,

y

=

73°
(v)

x

=

60°

,

y

=

75°

Question 23

23.

In the given figure, △CDE is a triangle in which ∠D = 45° and ∠E = 63.43°.

If 'z' is the angle between the bisector of ∠D and ∠E, then find z.

(i)

123.78°
(ii)

127.78°
(iii)

124.78°
(iv)

126.78°
(v)

125.78°

Question 24

24.

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

(i)

MN = 12 cm , NO = 13 cm , OM = 14 cm
(ii)

MN = 13 cm , NO = 13 cm , OM = 13 cm
(iii)

MN = 15 cm , NO = 12 cm , OM = 11 cm
(iv)

MN = 13 cm , NO = 21 cm , OM = 13 cm
(v)

MN = 14 cm , NO = 14 cm , OM = 19.8 cm

Question 25

25.

In the given figure, OP ∥ QR, ∠IFP = 58° and FG = HF. Find the measure of x.

(i)

x

=

65°
(ii)

x

=

63°
(iii)

x

=

64°
(iv)

x

=

62°
(v)

x

=

66°

Assignment Key