EduSahara™ Worksheet

Question 1

1.

Find the unknown marked angles in the following figure

(i)

x

=

110°

,

y

=

148°
(ii)

x

=

112°

,

y

=

150°
(iii)

x

=

109°

,

y

=

147°
(iv)

x

=

108°

,

y

=

146°
(v)

x

=

111°

,

y

=

149°

Question 2

2.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

38°
(ii)

x

=

111°

,

y

=

41°
(iii)

x

=

109°

,

y

=

39°
(iv)

x

=

110°

,

y

=

40°
(v)

x

=

112°

,

y

=

42°

Question 3

3.

Find the unknown marked angles in the following figure

(i)

x

=

106°

,

y

=

106°
(ii)

x

=

108°

,

y

=

108°
(iii)

x

=

107°

,

y

=

107°
(iv)

x

=

104°

,

y

=

104°
(v)

x

=

105°

,

y

=

105°

Question 4

4.

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

(i)

∠G = 45° , ∠H = 90° , ∠I = 45°
(ii)

∠G = 95.22° , ∠H = 44.66° , ∠I = 40.12°
(iii)

∠G = 52.26° , ∠H = 81.28° , ∠I = 46.46°
(iv)

∠G = 54.77° , ∠H = 70.46° , ∠I = 54.77°
(v)

∠G = 49.76° , ∠H = 90° , ∠I = 40.24°

Question 5

5.

In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.

(i)

A

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iii)

A

=

22°

,

B

=

80°

,

C

=

78°
(iv)

A

=

20°

,

B

=

78°

,

C

=

82°
(v)

A

=

18°

,

B

=

82°

,

C

=

80°

Question 6

6.

In the given figure , if LI ⟂ JK and ∠IJL = 42.2°, find ∠LIJ

(i)

46.80°
(ii)

47.80°
(iii)

48.80°
(iv)

49.80°
(v)

45.80°

Question 7

7.

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

(i)

∠I = 62.96° , ∠J = 72.62° , ∠K = 44.42°
(ii)

∠I = 47.12° , ∠J = 90° , ∠K = 42.88°
(iii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iv)

∠I = 93.9° , ∠J = 43.05° , ∠K = 43.05°
(v)

∠I = 116.42° , ∠J = 31.79° , ∠K = 31.79°

Question 8

8.

In △BCD, if ∠B = 62° and ∠C = 54°, find the measure of ∠D

(i)

D

=

65°
(ii)

D

=

62°
(iii)

D

=

63°
(iv)

D

=

66°
(v)

D

=

64°

Question 9

9.

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

a)

KI
≠
IJ

b)

JK
=
KI

c)

IJ
=
JK

d)

JK
≠
KI

e)

IJ
≠
JK

f)

KI
=
IJ

(i)

{b,d,e}
(ii)

{d,e,f}
(iii)

{b,e}
(iv)

{c,a,f}
(v)

{a,d}

Question 10

10.

One angle of a triangle measures 45° and the other two angles are in the ratio 4 : 11. Find these angles.

(i)

B

=

38°

,

C

=

101°
(ii)

B

=

35°

,

C

=

98°
(iii)

B

=

34°

,

C

=

97°
(iv)

B

=

37°

,

C

=

100°
(v)

B

=

36°

,

C

=

99°

Question 11

11.

Which of the following are measures of a right angled triangle ?

(i)

CD = 12 cm , DE = 12 cm , EC = 12 cm
(ii)

CD = 14 cm , DE = 14 cm , EC = 11 cm
(iii)

CD = 15 cm , DE = 10 cm , EC = 18.03 cm
(iv)

CD = 14 cm , DE = 13 cm , EC = 11 cm
(v)

CD = 12 cm , DE = 21 cm , EC = 11 cm

Question 12

12.

In △GHI, if ∠G = 40° and ∠H = ∠I, find the measure of each of the equal angles of the triangle

(i)

72°
(ii)

70°
(iii)

68°
(iv)

69°
(v)

71°

Question 13

13.

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

(i)

OP = 12 cm , PQ = 17 cm , QO = 10 cm
(ii)

OP = 15 cm , PQ = 22 cm , QO = 14 cm
(iii)

OP = 15 cm , PQ = 15 cm , QO = 21.21 cm
(iv)

OP = 11 cm , PQ = 11 cm , QO = 11 cm
(v)

OP = 10 cm , PQ = 14 cm , QO = 17.2 cm

Question 14

14.

The vertex opposite to the side
JK

(i)

KL
(ii)

I
(iii)

M
(iv)

J

Question 15

15.

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

(i)

∠F = 106.2° , ∠G = 38.62° , ∠H = 35.18°
(ii)

∠F = 93.9° , ∠G = 43.05° , ∠H = 43.05°
(iii)

∠F = 63.03° , ∠G = 43.28° , ∠H = 73.69°
(iv)

∠F = 45° , ∠G = 90° , ∠H = 45°
(v)

∠F = 51.34° , ∠G = 90° , ∠H = 38.66°

Question 16

16.

Find the measures of the three angles suitable to form a triangle?

(i)

∠B = 59.10° , ∠C = 72.10° , ∠D = 116.50°
(ii)

∠B = 90.50° , ∠C = 35.50° , ∠D = 118.80°
(iii)

∠B = 73.60° , ∠C = 63.10° , ∠D = 115.40°
(iv)

∠B = 58.20° , ∠C = 69.50° , ∠D = 88.70°
(v)

∠B = 54.31° , ∠C = 71.38° , ∠D = 54.31°

Question 17

17.

The vertex opposite to the side
SQ

(i)

ST
(ii)

Q
(iii)

R
(iv)

U

Question 18

18.

The angles of a triangle ABC are in the ratio 6 : 11 : 13. Find the measure of each angle of the triangle

(i)

A

=

36°

,

B

=

66°

,

C

=

78°
(ii)

A

=

34°

,

B

=

66°

,

C

=

80°
(iii)

A

=

36°

,

B

=

64°

,

C

=

80°
(iv)

A

=

38°

,

B

=

66°

,

C

=

76°
(v)

A

=

34°

,

B

=

68°

,

C

=

78°

Question 19

19.

Find the measures of the three sides suitable to form a triangle?

(i)

CD = 5 cm , DE = 12 cm , EC = 19 cm
(ii)

CD = 20 cm , DE = 6 cm , EC = 12 cm
(iii)

CD = 14 cm , DE = 11 cm , EC = 15 cm
(iv)

CD = 5 cm , DE = 5 cm , EC = 13 cm
(v)

CD = 12 cm , DE = 19 cm , EC = 6 cm

Question 20

20.

In below given figure, find ∠HFJ

(i)

66.67°
(ii)

70.67°
(iii)

67.67°
(iv)

69.67°
(v)

68.67°

Question 21

21.

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

(i)

x

=

20.98°

,

y

=

67.24°
(ii)

x

=

19.98°

,

y

=

66.24°
(iii)

x

=

22.98°

,

y

=

69.24°
(iv)

x

=

23.98°

,

y

=

70.24°
(v)

x

=

21.98°

,

y

=

68.24°

Question 22

22.

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

(i)

58°
(ii)

60°
(iii)

61°
(iv)

59°
(v)

62°

Question 23

23.

The name of the triangle is

(i)

△CDE
(ii)

△DEG
(iii)

△CDF
(iv)

△DEF
(v)

△EFG

Question 24

24.

The side opposite to the vertex
Q

(i)

PQ
(ii)

RP
(iii)

QO
(iv)

OS
(v)

OP

Question 25

25.

Which of the following are measures of an isosceles triangle ?

(i)

IJ = 12 cm , JK = 15 cm , KI = 14 cm
(ii)

IJ = 14 cm , JK = 10 cm , KI = 17.2 cm
(iii)

IJ = 14 cm , JK = 13 cm , KI = 10 cm
(iv)

IJ = 10 cm , JK = 12 cm , KI = 10 cm
(v)

IJ = 13 cm , JK = 13 cm , KI = 13 cm

Assignment Key