EduSahara™ Worksheet

Question 1

1.

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

(i)

A

=

118°

,

B

=

32°

,

C

=

30°
(ii)

A

=

120°

,

B

=

30°

,

C

=

30°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

120°

,

B

=

28°

,

C

=

32°
(v)

A

=

122°

,

B

=

30°

,

C

=

28°

Question 2

2.

In the given figure, △DEF in which ∠E = 61.83° and ∠F = 57.15°. DG and EF bisects each other. Find the value of z

(i)

z

=

60.02°
(ii)

z

=

62.02°
(iii)

z

=

59.02°
(iv)

z

=

61.02°
(v)

z

=

63.02°

Question 3

3.

In a right angled triangle, if the two non-hypotenuse sides are 16 cm and 63 cm, find the hypotenuse

(i)

63.00 cm
(ii)

67.00 cm
(iii)

64.00 cm
(iv)

66.00 cm
(v)

65.00 cm

Question 4

4.

In the given figure, find ∠EFD

(i)

34°
(ii)

38°
(iii)

35°
(iv)

36°
(v)

37°

Question 5

5.

The altitude corresponding to the side
BC

(i)

AB
(ii)

AE
(iii)

CF
(iv)

AD
(v)

BE

Question 6

6.

In the given figure, calculate the value of x.

(i)

x

=

22°
(ii)

x

=

24°
(iii)

x

=

23°
(iv)

x

=

26°
(v)

x

=

25°

Question 7

7.

Find the unknown angle in the following figure

(i)

x

=

45°
(ii)

x

=

47°
(iii)

x

=

44°
(iv)

x

=

43°
(v)

x

=

46°

Question 8

8.

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

(i)

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

∠E = 107.74° , ∠F = 36.13° , ∠G = 36.13°
(iii)

∠E = 83.47° , ∠F = 51.32° , ∠G = 45.21°
(iv)

∠E = 60° , ∠F = 60° , ∠G = 60°
(v)

∠E = 45° , ∠F = 90° , ∠G = 45°

Question 9

9.

Which of the following are measures of an equilateral triangle ?

(i)

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

GH = 13 cm , HI = 13 cm , IG = 18.38 cm
(iii)

GH = 10 cm , HI = 12 cm , IG = 15 cm
(iv)

GH = 15 cm , HI = 10 cm , IG = 15 cm
(v)

GH = 12 cm , HI = 13 cm , IG = 17.69 cm

Question 10

10.

The median corresponding to the side
DE

(i)

CD
(ii)

CF
(iii)

EH
(iv)

DG
(v)

CG

Question 11

11.

(i)

120°
(ii)

119°
(iii)

121°
(iv)

118°
(v)

122°

Question 12

12.

The angles of the triangle are

(i)

∠Q , ∠R , ∠T
(ii)

∠R , ∠S , ∠T
(iii)

∠P , ∠Q , ∠S
(iv)

∠P , ∠Q , ∠R
(v)

∠Q , ∠R , ∠S

Question 13

13.

In △ABC, if ∠A = 70° and ∠B = ∠C, find the measure of each of the equal angles of the triangle

(i)

53°
(ii)

57°
(iii)

55°
(iv)

54°
(v)

56°

Question 14

14.

Calculate the value of the lettered angle in the following figure

(i)

x

=

36.91°
(ii)

x

=

34.91°
(iii)

x

=

35.91°
(iv)

x

=

32.91°
(v)

x

=

33.91°

Question 15

15.

The name of the triangle is

(i)

△CDE
(ii)

△DEG
(iii)

△EFG
(iv)

△CDF
(v)

△DEF

Question 16

16.

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

(i)

45°
(ii)

46°
(iii)

44°
(iv)

47°
(v)

43°

Question 17

17.

Sum of the interior angles in a triangle is

(i)

210°
(ii)

190°
(iii)

185°
(iv)

180°
(v)

195°

Question 18

18.

The point of intersection of the medians of a triangle is called

(i)

centroid
(ii)

orthocentre
(iii)

circumcentre
(iv)

median
(v)

incentre

Question 19

19.

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

(i)

x

=

110.61°

,

y

=

67.39°
(ii)

x

=

109.61°

,

y

=

66.39°
(iii)

x

=

111.61°

,

y

=

68.39°
(iv)

x

=

113.61°

,

y

=

70.39°
(v)

x

=

112.61°

,

y

=

69.39°

Question 20

20.

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

(i)

x

=

63°

,

y

=

33°

,

z

=

100°
(ii)

x

=

61°

,

y

=

35°

,

z

=

100°
(iii)

x

=

61°

,

y

=

37°

,

z

=

98°
(iv)

x

=

65°

,

y

=

35°

,

z

=

96°
(v)

x

=

63°

,

y

=

35°

,

z

=

98°

Question 21

21.

Which of the following are measures of a scalene triangle ?

(i)

JK = 13 cm , KL = 11 cm , LJ = 13 cm
(ii)

JK = 14 cm , KL = 14 cm , LJ = 19.8 cm
(iii)

JK = 12 cm , KL = 15 cm , LJ = 12 cm
(iv)

JK = 15 cm , KL = 13 cm , LJ = 11 cm
(v)

JK = 13 cm , KL = 13 cm , LJ = 13 cm

Question 22

22.

In the given triangle, ∠I = 48.66°. Find the measure of ∠J and ∠K

(i)

∠J = ∠K = 65.67°
(ii)

∠J = ∠K = 64.67°
(iii)

∠J = ∠K = 67.67°
(iv)

∠J = ∠K = 66.67°
(v)

∠J = ∠K = 63.67°

Question 23

23.

Find the unknown angle in the following figure

(i)

x

=

53.8°
(ii)

x

=

50.8°
(iii)

x

=

49.8°
(iv)

x

=

52.8°
(v)

x

=

51.8°

Question 24

24.

The side opposite to the vertex
O

(i)

PN
(ii)

MQ
(iii)

OM
(iv)

NO
(v)

MN

Question 25

25.

Which of the following are measures of an isosceles triangle ?

(i)

∠C = 53.75° , ∠D = 90° , ∠E = 36.25°
(ii)

∠C = 70.46° , ∠D = 54.77° , ∠E = 54.77°
(iii)

∠C = 57.56° , ∠D = 45.57° , ∠E = 76.87°
(iv)

∠C = 60° , ∠D = 60° , ∠E = 60°
(v)

∠C = 58.67° , ∠D = 41.08° , ∠E = 80.25°

Assignment Key