EduSahara™ Worksheet

Question 1

1.

In the given figure, if IL = MI, find the values of x , y , z and t

(i)

x =39.84°, y =23.81°, z =22.22° , t =108.92°
(ii)

x =39.84°, y =23.81°, z =23.22° , t =109.92°
(iii)

x =39.84°, y =21.81°, z =21.22° , t =109.92°
(iv)

x =39.84°, y =25.81°, z =25.22° , t =109.92°
(v)

x =39.84°, y =23.81°, z =24.22° , t =110.92°

Question 2

2.

In the given figure , if LI ⟂ JK and ∠IJL = 47.73°, find ∠LIJ

(i)

42.27°
(ii)

44.27°
(iii)

43.27°
(iv)

41.27°
(v)

40.27°

Question 3

3.

In the given figure, it is given that ED ∥ GF , ∠EGF = 80° and ∠EDC = 71°. Find the value of x.

(i)

x

=

30°
(ii)

x

=

28°
(iii)

x

=

31°
(iv)

x

=

27°
(v)

x

=

29°

Question 4

4.

Which of the following are measures of an equilateral triangle ?

(i)

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

GH = 10 cm , HI = 13 cm , IG = 10 cm
(iii)

GH = 12 cm , HI = 15 cm , IG = 11 cm
(iv)

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

GH = 11 cm , HI = 13 cm , IG = 17.03 cm

Question 5

5.

The point of intersection of the perpendicular bisectors of the sides of a triangle is called

(i)

centroid
(ii)

median
(iii)

incentre
(iv)

circumcentre
(v)

excentre

Question 6

6.

(i)

122°
(ii)

118°
(iii)

121°
(iv)

120°
(v)

119°

Question 7

7.

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

a)	∠O = ∠P
b)	∠O ≠ ∠P
c)	∠P ≠ ∠Q
d)	∠Q ≠ ∠O
e)	∠Q = ∠O
f)	∠P = ∠Q

(i)

{c,d}
(ii)

{a,b}
(iii)

{c,b,d}
(iv)

{b,d,f}
(v)

{e,a,f}

Question 8

8.

In the given two equilateral triangles, find ∠F + ∠H + ∠J + ∠G + ∠I + ∠K .

(i)

361°
(ii)

358°
(iii)

362°
(iv)

360°
(v)

359°

Question 9

9.

In the given figure, calculate the value of x.

(i)

x

=

22°
(ii)

x

=

21°
(iii)

x

=

19°
(iv)

x

=

23°
(v)

x

=

20°

Question 10

10.

Identify the points that are on the triangle

(i)

{D,F}
(ii)

{A,D}
(iii)

{B,E}
(iv)

{A,E}
(v)

{C,F}

Question 11

11.

The name of the triangle is

(i)

△LMO
(ii)

△NOP
(iii)

△LMN
(iv)

△MNO
(v)

△MNP

Question 12

12.

Find the unknown angle in the following figure

(i)

x

=

46.84°
(ii)

x

=

47.84°
(iii)

x

=

44.84°
(iv)

x

=

43.84°
(v)

x

=

45.84°

Question 13

13.

Find the unknown marked angles in the following figure

(i)

x

=

92°

,

y

=

115°
(ii)

x

=

91°

,

y

=

114°
(iii)

x

=

95°

,

y

=

118°
(iv)

x

=

93°

,

y

=

116°
(v)

x

=

94°

,

y

=

117°

Question 14

14.

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

(i)

x

=

60°

,

y

=

43°

,

z

=

77°
(ii)

x

=

62°

,

y

=

45°

,

z

=

73°
(iii)

x

=

58°

,

y

=

47°

,

z

=

75°
(iv)

x

=

58°

,

y

=

45°

,

z

=

77°
(v)

x

=

60°

,

y

=

45°

,

z

=

75°

Question 15

15.

Which of the following are measures of an equilateral triangle ?

(i)

∠F = 64.78° , ∠G = 57.61° , ∠H = 57.61°
(ii)

∠F = 45° , ∠G = 90° , ∠H = 45°
(iii)

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

∠F = 60° , ∠G = 60° , ∠H = 60°
(v)

∠F = 46.97° , ∠G = 90° , ∠H = 43.03°

Question 16

16.

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

(i)

61°
(ii)

59°
(iii)

62°
(iv)

60°
(v)

58°

Question 17

17.

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

(i)

BC = 14 cm , CD = 11 cm , DB = 15 cm
(ii)

BC = 12 cm , CD = 11 cm , DB = 12 cm
(iii)

BC = 15 cm , CD = 15 cm , DB = 21.21 cm
(iv)

BC = 14 cm , CD = 12 cm , DB = 18.44 cm
(v)

BC = 14 cm , CD = 25 cm , DB = 14 cm

Question 18

18.

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

(i)

∠E = 45° , ∠F = 90° , ∠G = 45°
(ii)

∠E = 62.33° , ∠F = 55.33° , ∠G = 62.34°
(iii)

∠E = 36.25° , ∠F = 90° , ∠G = 53.75°
(iv)

∠E = 69.07° , ∠F = 69.08° , ∠G = 41.85°
(v)

∠E = 101.53° , ∠F = 44.42° , ∠G = 34.05°

Question 19

19.

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

(i)

43°
(ii)

45°
(iii)

46°
(iv)

47°
(v)

44°

Question 20

20.

In the given figure, calculate the value of x.

(i)

x

=

23.5°
(ii)

x

=

20.5°
(iii)

x

=

24.5°
(iv)

x

=

21.5°
(v)

x

=

22.5°

Question 21

21.

Calculate the value of the lettered angle in the following figure

(i)

x

=

37.9°
(ii)

x

=

35.9°
(iii)

x

=

33.9°
(iv)

x

=

34.9°
(v)

x

=

36.9°

Question 22

22.

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

(i)

GH = 15 cm , HI = 10 cm , IG = 14 cm
(ii)

GH = 11 cm , HI = 18 cm , IG = 13 cm
(iii)

GH = 13 cm , HI = 24 cm , IG = 13 cm
(iv)

GH = 11 cm , HI = 11 cm , IG = 15.56 cm
(v)

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

Question 23

23.

In the given figure, ∠H = 66.71° and ∠I = 53.13°.

Side IJ is produced to K, so that ∠IJH and ∠HJK form a linear pair.

(i)

x

=

29.08°

,

y

=

58.92°
(ii)

x

=

28.08°

,

y

=

57.92°
(iii)

x

=

30.08°

,

y

=

59.92°
(iv)

x

=

31.08°

,

y

=

60.92°
(v)

x

=

32.08°

,

y

=

61.92°

Question 24

24.

Find the unknown marked angles in the following figure

(i)

x

=

109°

,

y

=

109°
(ii)

x

=

108°

,

y

=

108°
(iii)

x

=

111°

,

y

=

111°
(iv)

x

=

110°

,

y

=

110°
(v)

x

=

107°

,

y

=

107°

Question 25

25.

The angles of a triangle ABC are in the ratio 6 : 3 : 11. Find the measure of each angle of the triangle

(i)

A

=

52°

,

B

=

29°

,

C

=

99°
(ii)

A

=

54°

,

B

=

27°

,

C

=

99°
(iii)

A

=

52°

,

B

=

27°

,

C

=

101°
(iv)

A

=

54°

,

B

=

25°

,

C

=

101°
(v)

A

=

56°

,

B

=

27°

,

C

=

97°

Assignment Key