EduSahara™ Worksheet

Question 1

1.

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

(i)

MN = 10 cm , NO = 10 cm , OM = 14.14 cm
(ii)

MN = 14 cm , NO = 14 cm , OM = 12 cm
(iii)

MN = 10 cm , NO = 16 cm , OM = 10 cm
(iv)

MN = 15 cm , NO = 11 cm , OM = 15 cm
(v)

MN = 13 cm , NO = 10 cm , OM = 16.4 cm

Question 2

2.

Which of the following are measures of an isosceles triangle ?

(i)

∠B = 65.16° , ∠C = 57.42° , ∠D = 57.42°
(ii)

∠B = 49.09° , ∠C = 90° , ∠D = 40.91°
(iii)

∠B = 52.02° , ∠C = 59.3° , ∠D = 68.68°
(iv)

∠B = 60° , ∠C = 60° , ∠D = 60°
(v)

∠B = 52.62° , ∠C = 59.41° , ∠D = 67.97°

Question 3

3.

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

(i)

CD = 13 cm , DE = 13 cm , EC = 18.38 cm
(ii)

CD = 15 cm , DE = 15 cm , EC = 10 cm
(iii)

CD = 12 cm , DE = 17 cm , EC = 10 cm
(iv)

CD = 10 cm , DE = 15 cm , EC = 15 cm
(v)

CD = 15 cm , DE = 11 cm , EC = 18.6 cm

Question 4

4.

Find the unknown angle in the following figure

(i)

x

=

43.5°
(ii)

x

=

44.5°
(iii)

x

=

41.5°
(iv)

x

=

45.5°
(v)

x

=

42.5°

Question 5

5.

The exterior angles of the triangle are

(i)

∠RQO , ∠SOP , ∠TPQ
(ii)

∠PQN , ∠QNO , ∠ROQ
(iii)

∠QPN , ∠RNO , ∠SOP
(iv)

∠QRO , ∠ROP , ∠SPR
(v)

∠SRP , ∠TPQ , ∠UQR

Question 6

6.

Which of the following are measures of a scalene triangle ?

(i)

∠O = 72.44° , ∠P = 53.78° , ∠Q = 53.78°
(ii)

∠O = 76.33° , ∠P = 55.3° , ∠Q = 48.37°
(iii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iv)

∠O = 46.26° , ∠P = 66.87° , ∠Q = 66.87°
(v)

∠O = 45° , ∠P = 90° , ∠Q = 45°

Question 7

7.

Which of the following are measures of an isosceles triangle ?

(i)

∠H = 60° , ∠I = 60° , ∠J = 60°
(ii)

∠H = 38.66° , ∠I = 90° , ∠J = 51.34°
(iii)

∠H = 76.87° , ∠I = 57.56° , ∠J = 45.57°
(iv)

∠H = 71.38° , ∠I = 54.31° , ∠J = 54.31°
(v)

∠H = 52.89° , ∠I = 85.46° , ∠J = 41.65°

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

CD = 10 cm , DE = 12 cm , EC = 11 cm
(ii)

CD = 12 cm , DE = 11 cm , EC = 12 cm
(iii)

CD = 14 cm , DE = 13 cm , EC = 19.1 cm
(iv)

CD = 13 cm , DE = 12 cm , EC = 10 cm
(v)

CD = 11 cm , DE = 11 cm , EC = 11 cm

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

=

120°

,

B

=

30°

,

C

=

30°
(ii)

A

=

122°

,

B

=

30°

,

C

=

28°
(iii)

A

=

120°

,

B

=

28°

,

C

=

32°
(iv)

A

=

118°

,

B

=

32°

,

C

=

30°
(v)

A

=

118°

,

B

=

30°

,

C

=

32°

Question 10

10.

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

(i)

∠B = 50.48° , ∠C = 50.48° , ∠D = 79.04°
(ii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iii)

∠B = 106.2° , ∠C = 35.18° , ∠D = 38.62°
(iv)

∠B = 50.19° , ∠C = 90° , ∠D = 39.81°
(v)

∠B = 62.33° , ∠C = 62.34° , ∠D = 55.33°

Question 11

11.

In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.

(i)

x

=

45°

,

y

=

25°

,

z

=

110°
(ii)

x

=

43°

,

y

=

25°

,

z

=

112°
(iii)

x

=

43°

,

y

=

27°

,

z

=

110°
(iv)

x

=

45°

,

y

=

23°

,

z

=

112°
(v)

x

=

47°

,

y

=

25°

,

z

=

108°

Question 12

12.

Calculate the value of the lettered angle in the following figure

(i)

x

=

38.1°
(ii)

x

=

35.1°
(iii)

x

=

34.1°
(iv)

x

=

37.1°
(v)

x

=

36.1°

Question 13

13.

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

(i)

∠M = 101.30° , ∠N = 43.60° , ∠O = 76.10°
(ii)

∠M = 65.90° , ∠N = 42.20° , ∠O = 79.60°
(iii)

∠M = 63.03° , ∠N = 43.28° , ∠O = 73.69°
(iv)

∠M = 61.70° , ∠N = 35.40° , ∠O = 85.10°
(v)

∠M = 79.40° , ∠N = 69.60° , ∠O = 32.20°

Question 14

14.

The vertex opposite to the side
DB

(i)

C
(ii)

F
(iii)

DE
(iv)

B

Question 15

15.

The side opposite to the vertex
L

(i)

NL
(ii)

OM
(iii)

LP
(iv)

LM
(v)

MN

Question 16

16.

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

(i)

CD = 10 cm , DE = 10 cm , EC = 14.14 cm
(ii)

CD = 15 cm , DE = 15 cm , EC = 15 cm
(iii)

CD = 13 cm , DE = 12 cm , EC = 12 cm
(iv)

CD = 12 cm , DE = 24 cm , EC = 15 cm
(v)

CD = 14 cm , DE = 11 cm , EC = 10 cm

Question 17

17.

In the given figure, QR ∥ ST, ∠DAR = 61° and AB = CA. Find the measure of x.

(i)

x

=

56°
(ii)

x

=

57°
(iii)

x

=

60°
(iv)

x

=

59°
(v)

x

=

58°

Question 18

18.

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

(i)

∠L = 60° , ∠M = 60° , ∠N = 60°
(ii)

∠L = 55.3° , ∠M = 48.37° , ∠N = 76.33°
(iii)

∠L = 45° , ∠M = 90° , ∠N = 45°
(iv)

∠L = 62.18° , ∠M = 55.64° , ∠N = 62.18°
(v)

∠L = 104.38° , ∠M = 41.51° , ∠N = 34.11°

Question 19

19.

Two angles of a triangle measure 58° and 65° respectively. Find the measure of the third angle of the triangle

(i)

58°
(ii)

57°
(iii)

55°
(iv)

59°
(v)

56°

Question 20

20.

In a right angled triangle, if one of the angles is 42.51°, find the third angle

(i)

52.49°
(ii)

47.49°
(iii)

57.49°
(iv)

62.49°
(v)

77.49°

Question 21

21.

The angles of a triangle ABC are in the ratio 4 : 3 : 5. Find the measure of each angle of the triangle

(i)

A

=

58°

,

B

=

47°

,

C

=

75°
(ii)

A

=

62°

,

B

=

45°

,

C

=

73°
(iii)

A

=

60°

,

B

=

43°

,

C

=

77°
(iv)

A

=

58°

,

B

=

45°

,

C

=

77°
(v)

A

=

60°

,

B

=

45°

,

C

=

75°

Question 22

22.

The vertex opposite to the side
PQ

(i)

P
(ii)

RS
(iii)

Q
(iv)

R

Question 23

23.

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

(i)

∠C = 64.97° , ∠D = 64.97° , ∠E = 50.06°
(ii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iii)

∠C = 47.29° , ∠D = 90° , ∠E = 42.71°
(iv)

∠C = 132.72° , ∠D = 21.55° , ∠E = 25.73°
(v)

∠C = 52.02° , ∠D = 68.68° , ∠E = 59.3°

Question 24

24.

The altitude corresponding to the side
FG

(i)

GJ
(ii)

FJ
(iii)

HK
(iv)

FI
(v)

FG

Question 25

25.

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

(i)

A

=

22°

,

B

=

80°

,

C

=

78°
(ii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iv)

A

=

20°

,

B

=

78°

,

C

=

82°
(v)

A

=

20°

,

B

=

80°

,

C

=

80°

Assignment Key