EduSahara™ Worksheet

Question 1

1.

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

(i)

OP = 14 cm , PQ = 14 cm , QO = 14 cm
(ii)

OP = 12 cm , PQ = 19 cm , QO = 13 cm
(iii)

OP = 12 cm , PQ = 10 cm , QO = 15.62 cm
(iv)

OP = 10 cm , PQ = 10 cm , QO = 14.14 cm
(v)

OP = 10 cm , PQ = 12 cm , QO = 14 cm

Question 2

2.

In the given triangle, ∠F = 86.1°. Find the measure of ∠G and ∠H

(i)

∠G = ∠H = 46.95°
(ii)

∠G = ∠H = 47.95°
(iii)

∠G = ∠H = 48.95°
(iv)

∠G = ∠H = 44.95°
(v)

∠G = ∠H = 45.95°

Question 3

3.

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

(i)

∠B = 60° , ∠C = 60° , ∠D = 60°
(ii)

∠B = 47.91° , ∠C = 70.81° , ∠D = 61.28°
(iii)

∠B = 121.19° , ∠C = 24.04° , ∠D = 34.77°
(iv)

∠B = 57.12° , ∠C = 78.46° , ∠D = 44.42°
(v)

∠B = 45° , ∠C = 90° , ∠D = 45°

Question 4

4.

In the following figure, one side of a triangle has been produced. Find all the angles of the triangle

(i)

F

=

58°

,

G

=

47°

,

H

=

75°
(ii)

F

=

60°

,

G

=

43°

,

H

=

77°
(iii)

F

=

58°

,

G

=

45°

,

H

=

77°
(iv)

F

=

62°

,

G

=

45°

,

H

=

73°
(v)

F

=

60°

,

G

=

45°

,

H

=

75°

Question 5

5.

Which of the following are measures of an isosceles triangle ?

(i)

PQ = 12 cm , QR = 11 cm , RP = 12 cm
(ii)

PQ = 11 cm , QR = 11 cm , RP = 11 cm
(iii)

PQ = 14 cm , QR = 13 cm , RP = 19.1 cm
(iv)

PQ = 14 cm , QR = 11 cm , RP = 12 cm
(v)

PQ = 12 cm , QR = 15 cm , RP = 13 cm

Question 6

6.

Identify the points that are inside the triangle

(i)

{W,V,P}
(ii)

{O,S,V}
(iii)

{Q,T,W}
(iv)

{P,S,V}
(v)

{O,R,U}

Question 7

7.

In the given figure, QR ∥ ST, ∠HER = 64° and EF = GE. Find the measure of x.

(i)

x

=

51°
(ii)

x

=

52°
(iii)

x

=

53°
(iv)

x

=

50°
(v)

x

=

54°

Question 8

8.

Identify the figure below

(i)

triangle
(ii)

quadrilateral
(iii)

hexagon
(iv)

nonagon
(v)

octagon

Question 9

9.

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

(i)

x

=

45°

,

y

=

36°

,

z

=

99°
(ii)

x

=

43°

,

y

=

38°

,

z

=

99°
(iii)

x

=

43°

,

y

=

36°

,

z

=

101°
(iv)

x

=

47°

,

y

=

36°

,

z

=

97°
(v)

x

=

45°

,

y

=

34°

,

z

=

101°

Question 10

10.

The exterior angles of the triangle are

(i)

∠JIG , ∠KGH , ∠LHI
(ii)

∠GHE , ∠HEF , ∠IFH
(iii)

∠HGE , ∠IEF , ∠JFG
(iv)

∠IHF , ∠JFG , ∠KGH
(v)

∠HIF , ∠IFG , ∠JGI

Question 11

11.

In the given figure, find the value of x.

(i)

x

=

129°
(ii)

x

=

131°
(iii)

x

=

128°
(iv)

x

=

130°
(v)

x

=

132°

Question 12

12.

Find the unknown marked angles in the following figure

(i)

x

=

91°

,

y

=

115°
(ii)

x

=

95°

,

y

=

119°
(iii)

x

=

92°

,

y

=

116°
(iv)

x

=

94°

,

y

=

118°
(v)

x

=

93°

,

y

=

117°

Question 13

13.

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

(i)

CD = 5 cm , DE = 6 cm , EC = 17 cm
(ii)

CD = 19 cm , DE = 5 cm , EC = 10 cm
(iii)

CD = 12 cm , DE = 10 cm , EC = 14 cm
(iv)

CD = 6 cm , DE = 15 cm , EC = 5 cm
(v)

CD = 19 cm , DE = 5 cm , EC = 11 cm

Question 14

14.

Which of the following are measures of an isosceles triangle ?

(i)

∠E = 40.6° , ∠F = 90° , ∠G = 49.4°
(ii)

∠E = 60° , ∠F = 60° , ∠G = 60°
(iii)

∠E = 49.32° , ∠F = 74.85° , ∠G = 55.83°
(iv)

∠E = 53.13° , ∠F = 59.49° , ∠G = 67.38°
(v)

∠E = 71.38° , ∠F = 54.31° , ∠G = 54.31°

Question 15

15.

Calculate the value of x in the following figure

(i)

x

=

44.24°
(ii)

x

=

43.24°
(iii)

x

=

42.24°
(iv)

x

=

40.24°
(v)

x

=

41.24°

Question 16

16.

Two angles of a triangle measure 58° and 54° respectively. Find the measure of the third angle of the triangle

(i)

67°
(ii)

68°
(iii)

69°
(iv)

70°
(v)

66°

Question 17

17.

The vertices of the triangle are

(i)

K , L , M
(ii)

L , M , N
(iii)

L , M , O
(iv)

K , L , N
(v)

M , N , O

Question 18

18.

In the given figure, △HIJ in which ∠I = 61.6° and ∠J = 60.3°. HK and IJ bisects each other. Find the value of z

(i)

z

=

57.1°
(ii)

z

=

58.1°
(iii)

z

=

59.1°
(iv)

z

=

60.1°
(v)

z

=

56.1°

Question 19

19.

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

(i)

x

=

61°

,

y

=

76°
(ii)

x

=

60°

,

y

=

75°
(iii)

x

=

59°

,

y

=

74°
(iv)

x

=

62°

,

y

=

77°
(v)

x

=

58°

,

y

=

73°

Question 20

20.

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

(i)

∠B = 135.33° , ∠C = 19.72° , ∠D = 24.95°
(ii)

∠B = 60° , ∠C = 60° , ∠D = 60°
(iii)

∠B = 52.43° , ∠C = 90° , ∠D = 37.57°
(iv)

∠B = 69.07° , ∠C = 69.08° , ∠D = 41.85°
(v)

∠B = 61.26° , ∠C = 46.95° , ∠D = 71.79°

Question 21

21.

Calculate the value of the lettered angle in the following figure

(i)

x

=

34.97°
(ii)

x

=

35.97°
(iii)

x

=

32.97°
(iv)

x

=

36.97°
(v)

x

=

33.97°

Question 22

22.

In the given figure, calculate the value of x.

(i)

x

=

73.26°
(ii)

x

=

70.26°
(iii)

x

=

72.26°
(iv)

x

=

71.26°
(v)

x

=

74.26°

Question 23

23.

In a right angled triangle, if one of the angles is 52.43°, find the third angle

(i)

47.57°
(ii)

67.57°
(iii)

42.57°
(iv)

52.57°
(v)

37.57°

Question 24

24.

In the given figure, ∠F = 57.74° and ∠G = 68.2°.

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

(i)

x

=

29.03°

,

y

=

64.97°
(ii)

x

=

26.03°

,

y

=

61.97°
(iii)

x

=

27.03°

,

y

=

62.97°
(iv)

x

=

25.03°

,

y

=

60.97°
(v)

x

=

28.03°

,

y

=

63.97°

Question 25

25.

Which of the following are measures of a scalene triangle ?

(i)

BC = 11 cm , CD = 11 cm , DB = 15.56 cm
(ii)

BC = 15 cm , CD = 15 cm , DB = 15 cm
(iii)

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

BC = 13 cm , CD = 14 cm , DB = 13 cm
(v)

BC = 12 cm , CD = 15 cm , DB = 12 cm

Assignment Key