EduSahara™ Worksheet

Question 1

1.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 45° , ∠G = 90° , ∠H = 45°
(ii)

∠F = 65.6° , ∠G = 57.2° , ∠H = 57.2°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 50.06° , ∠G = 64.97° , ∠H = 64.97°
(v)

∠F = 69.51° , ∠G = 59.17° , ∠H = 51.32°

Question 2

2.

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

(i)

∠M = 133.5° , ∠N = 20.3° , ∠O = 26.2°
(ii)

∠M = 45° , ∠N = 90° , ∠O = 45°
(iii)

∠M = 37.57° , ∠N = 90° , ∠O = 52.43°
(iv)

∠M = 57.2° , ∠N = 57.2° , ∠O = 65.6°
(v)

∠M = 122.84° , ∠N = 24.84° , ∠O = 32.32°

Question 3

3.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

114°
(ii)

x

=

112°

,

y

=

112°
(iii)

x

=

116°

,

y

=

116°
(iv)

x

=

115°

,

y

=

115°
(v)

x

=

113°

,

y

=

113°

Question 4

4.

In the given figure, △CDE in which side DE has been produced to F. If ∠ECD = x° , ∠CDE = (5/2a)° , ∠DEC = (3a)° and ∠CEF = (6a)°, find the values of a and x.

(i)

a

=

20°

,

x

=

70°
(ii)

a

=

18°

,

x

=

68°
(iii)

a

=

21°

,

x

=

71°
(iv)

a

=

19°

,

x

=

69°
(v)

a

=

22°

,

x

=

72°

Question 5

5.

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

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

(i)

{c,a}
(ii)

{e,a,b}
(iii)

{f,c,d}
(iv)

{a,b,d}
(v)

{e,b}

Question 6

6.

Find the unknown marked angles in the following figure

(i)

x

=

109°

,

y

=

37°
(ii)

x

=

110°

,

y

=

38°
(iii)

x

=

107°

,

y

=

35°
(iv)

x

=

108°

,

y

=

36°
(v)

x

=

106°

,

y

=

34°

Question 7

7.

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

(i)

44°
(ii)

45°
(iii)

43°
(iv)

46°
(v)

47°

Question 8

8.

The perpendicular drawn from each vertex to the opposite side of a triangle is called

(i)

excentre
(ii)

incentre
(iii)

median
(iv)

altitude
(v)

centroid

Question 9

9.

Find the angles of the triangle

(i)

A

=

53°

,

B

=

37°

,

C

=

90°
(ii)

A

=

53°

,

B

=

35°

,

C

=

92°
(iii)

A

=

55°

,

B

=

35°

,

C

=

90°
(iv)

A

=

55°

,

B

=

33°

,

C

=

92°
(v)

A

=

57°

,

B

=

35°

,

C

=

88°

Question 10

10.

In below given figure, find ∠MKO

(i)

96.71°
(ii)

95.71°
(iii)

92.71°
(iv)

93.71°
(v)

94.71°

Question 11

11.

In △CDE, if ∠C = 60° and ∠D = ∠E, find the measure of each of the equal angles of the triangle

(i)

62°
(ii)

61°
(iii)

58°
(iv)

59°
(v)

60°

Question 12

12.

In a right angled triangle, if one of the angles is 47.29°, find the third angle

(i)

72.71°
(ii)

47.71°
(iii)

52.71°
(iv)

57.71°
(v)

42.71°

Question 13

13.

Which of the following are measures of an isosceles triangle ?

(i)

∠J = 46.95° , ∠K = 71.79° , ∠L = 61.26°
(ii)

∠J = 35.54° , ∠K = 90° , ∠L = 54.46°
(iii)

∠J = 59.17° , ∠K = 69.51° , ∠L = 51.32°
(iv)

∠J = 85.98° , ∠K = 47.01° , ∠L = 47.01°
(v)

∠J = 60° , ∠K = 60° , ∠L = 60°

Question 14

14.

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

(i)

x

=

38°

,

y

=

92°
(ii)

x

=

36°

,

y

=

90°
(iii)

x

=

35°

,

y

=

89°
(iv)

x

=

34°

,

y

=

88°
(v)

x

=

37°

,

y

=

91°

Question 15

15.

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

(i)

x

=

72.16°

,

y

=

47.57°
(ii)

x

=

69.16°

,

y

=

44.57°
(iii)

x

=

70.16°

,

y

=

45.57°
(iv)

x

=

71.16°

,

y

=

46.57°
(v)

x

=

68.16°

,

y

=

43.57°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

136°
(ii)

x

=

137°
(iii)

x

=

134°
(iv)

x

=

133°
(v)

x

=

135°

Question 17

17.

The vertices of the triangle are

(i)

D , E , F
(ii)

C , D , E
(iii)

C , D , F
(iv)

B , C , E
(v)

B , C , D

Question 18

18.

The side opposite to the vertex
I

(i)

GK
(ii)

GH
(iii)

JH
(iv)

IG
(v)

HI

Question 19

19.

In the given figure, if KI = KL = LJ, find the value of x

(i)

x

=

42°
(ii)

x

=

39°
(iii)

x

=

38°
(iv)

x

=

40°
(v)

x

=

41°

Question 20

20.

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

(i)

EF = 13 cm , FG = 19 cm , GE = 10 cm
(ii)

EF = 10 cm , FG = 10 cm , GE = 14.14 cm
(iii)

EF = 13 cm , FG = 12 cm , GE = 17.69 cm
(iv)

EF = 12 cm , FG = 12 cm , GE = 15 cm
(v)

EF = 15 cm , FG = 24 cm , GE = 13 cm

Question 21

21.

Find the unknown marked angle in the following figure

(i)

x

=

64.2°
(ii)

x

=

66.2°
(iii)

x

=

63.2°
(iv)

x

=

65.2°
(v)

x

=

67.2°

Question 22

22.

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

(i)

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

∠O = 56.31° , ∠P = 90° , ∠Q = 33.69°
(iii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iv)

∠O = 57.12° , ∠P = 78.46° , ∠Q = 44.42°
(v)

∠O = 94.34° , ∠P = 42.83° , ∠Q = 42.83°

Question 23

23.

In below given figure, find ∠ADC

(i)

137.72°
(ii)

136.72°
(iii)

139.72°
(iv)

138.72°
(v)

140.72°

Question 24

24.

In a right-angled triangle if one of the acute angles is 43°, find the measure of the other acute angle.

(i)

48°
(ii)

45°
(iii)

46°
(iv)

47°
(v)

49°

Question 25

25.

In the given figure, calculate the value of x.

(i)

x

=

67.65°
(ii)

x

=

63.65°
(iii)

x

=

65.65°
(iv)

x

=

64.65°
(v)

x

=

66.65°

Assignment Key