EduSahara™ Worksheet

Question 1

1.

Sum of the interior angles in a triangle is

(i)

195°
(ii)

190°
(iii)

185°
(iv)

210°
(v)

180°

Question 2

2.

The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called

(i)

centroid
(ii)

median
(iii)

incentre
(iv)

circumcentre
(v)

excentre

Question 3

3.

The median corresponding to the side
CD

(i)

CD
(ii)

CF
(iii)

EH
(iv)

CG
(v)

DG

Question 4

4.

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

(i)

∠K = 45.40° , ∠L = 99.20° , ∠M = 119.40°
(ii)

∠K = 112.90° , ∠L = 90.70° , ∠M = 56.80°
(iii)

∠K = 117.10° , ∠L = 73.70° , ∠M = 104.30°
(iv)

∠K = 60° , ∠L = 60° , ∠M = 60°
(v)

∠K = 46.70° , ∠L = 86.30° , ∠M = 43.70°

Question 5

5.

The point of intersection of the bisectors of the interior angles of a triangle is called

(i)

centroid
(ii)

circumcentre
(iii)

orthocentre
(iv)

median
(v)

incentre

Question 6

6.

Find the unknown angle in the following figure

(i)

x

=

134°
(ii)

x

=

135°
(iii)

x

=

136°
(iv)

x

=

133°
(v)

x

=

137°

Question 7

7.

Find the angles of the triangle

(i)

A

=

54°

,

B

=

34°

,

C

=

92°
(ii)

A

=

52°

,

B

=

38°

,

C

=

90°
(iii)

A

=

54°

,

B

=

36°

,

C

=

90°
(iv)

A

=

52°

,

B

=

36°

,

C

=

92°
(v)

A

=

56°

,

B

=

36°

,

C

=

88°

Question 8

8.

In a right angled triangle, if one of the angles is 46.97°, find the third angle

(i)

53.03°
(ii)

58.03°
(iii)

73.03°
(iv)

48.03°
(v)

43.03°

Question 9

9.

The altitude corresponding to the side
RP

(i)

PT
(ii)

RU
(iii)

PQ
(iv)

PS
(v)

QT

Question 10

10.

Which of the following are measures of an isosceles triangle ?

(i)

∠D = 52.02° , ∠E = 68.68° , ∠F = 59.3°
(ii)

∠D = 50.13° , ∠E = 56.25° , ∠F = 73.62°
(iii)

∠D = 60° , ∠E = 60° , ∠F = 60°
(iv)

∠D = 64.78° , ∠E = 57.61° , ∠F = 57.61°
(v)

∠D = 35.54° , ∠E = 90° , ∠F = 54.46°

Question 11

11.

Find the unknown marked angle in the following figure

(i)

x

=

38.4°
(ii)

x

=

36.4°
(iii)

x

=

40.4°
(iv)

x

=

37.4°
(v)

x

=

39.4°

Question 12

12.

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

(i)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(ii)

∠O = 50.13° , ∠P = 56.25° , ∠Q = 73.62°
(iii)

∠O = 49.76° , ∠P = 90° , ∠Q = 40.24°
(iv)

∠O = 107.5° , ∠P = 39.48° , ∠Q = 33.02°
(v)

∠O = 58.67° , ∠P = 80.25° , ∠Q = 41.08°

Question 13

13.

In a right angled triangle, if one of the angles is 42.88°, find the third angle

(i)

62.12°
(ii)

47.12°
(iii)

77.12°
(iv)

57.12°
(v)

52.12°

Question 14

14.

In the given figure, find ∠KIJ

(i)

119°
(ii)

116°
(iii)

120°
(iv)

117°
(v)

118°

Question 15

15.

The side opposite to the vertex
N

(i)

PN
(ii)

OM
(iii)

MN
(iv)

MQ
(v)

NO

Question 16

16.

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

(i)

∠G = 39.81° , ∠H = 90° , ∠I = 50.19°
(ii)

∠G = 60° , ∠H = 60° , ∠I = 60°
(iii)

∠G = 67.38° , ∠H = 59.49° , ∠I = 53.13°
(iv)

∠G = 63.03° , ∠H = 43.28° , ∠I = 73.69°
(v)

∠G = 109.47° , ∠H = 31.59° , ∠I = 38.94°

Question 17

17.

The vertices of the triangle are

(i)

Q , R , S
(ii)

Q , R , T
(iii)

P , Q , S
(iv)

P , Q , R
(v)

R , S , T

Question 18

18.

The vertex opposite to the side
DE

(i)

FG
(ii)

F
(iii)

D
(iv)

E

Question 19

19.

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

(i)

JK = 11 cm , KL = 11 cm , LJ = 11 cm
(ii)

JK = 10 cm , KL = 13 cm , LJ = 11 cm
(iii)

JK = 12 cm , KL = 11 cm , LJ = 14 cm
(iv)

JK = 13 cm , KL = 12 cm , LJ = 17.69 cm
(v)

JK = 14 cm , KL = 22 cm , LJ = 14 cm

Question 20

20.

In the given two equilateral triangles, find ∠M + ∠O + ∠Q + ∠N + ∠P + ∠R .

(i)

362°
(ii)

358°
(iii)

361°
(iv)

359°
(v)

360°

Question 21

21.

In the given figure, calculate the value of x.

(i)

x

=

149°
(ii)

x

=

152°
(iii)

x

=

148°
(iv)

x

=

151°
(v)

x

=

150°

Question 22

22.

Two angles of a triangle measure 60° and 59° respectively. Find the measure of the third angle of the triangle

(i)

63°
(ii)

61°
(iii)

59°
(iv)

60°
(v)

62°

Question 23

23.

The side opposite to the vertex
O

(i)

OM
(ii)

MQ
(iii)

PN
(iv)

NO
(v)

MN

Question 24

24.

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

(i)

FG = 13 cm , GH = 18 cm , HF = 12 cm
(ii)

FG = 13 cm , GH = 10 cm , HF = 11 cm
(iii)

FG = 15 cm , GH = 10 cm , HF = 18.03 cm
(iv)

FG = 15 cm , GH = 15 cm , HF = 21.21 cm
(v)

FG = 12 cm , GH = 19 cm , HF = 12 cm

Question 25

25.

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

(i)

FG = 11 cm , GH = 11 cm , HF = 15.56 cm
(ii)

FG = 13 cm , GH = 13 cm , HF = 13 cm
(iii)

FG = 11 cm , GH = 13 cm , HF = 15 cm
(iv)

FG = 13 cm , GH = 15 cm , HF = 14 cm
(v)

FG = 12 cm , GH = 22 cm , HF = 12 cm

Assignment Key