EduSahara™ Worksheet

Question 1

1.

One of the two equal angles of an isosceles triangle measures 74°. Find the measure of each angle of the triangle.

(i)

A

=

74°

,

B

=

74°

,

C

=

32°
(ii)

A

=

74°

,

B

=

72°

,

C

=

34°
(iii)

A

=

76°

,

B

=

74°

,

C

=

30°
(iv)

A

=

72°

,

B

=

74°

,

C

=

34°
(v)

A

=

72°

,

B

=

76°

,

C

=

32°

Question 2

2.

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

(i)

EF = 15 cm , FG = 15 cm , GE = 15 cm
(ii)

EF = 13 cm , FG = 24 cm , GE = 13 cm
(iii)

EF = 13 cm , FG = 11 cm , GE = 12 cm
(iv)

EF = 14 cm , FG = 13 cm , GE = 15 cm
(v)

EF = 11 cm , FG = 11 cm , GE = 15.56 cm

Question 3

3.

In △DEF, if ∠D = 30° and ∠E = ∠F, find the measure of each of the equal angles of the triangle

(i)

75°
(ii)

77°
(iii)

76°
(iv)

73°
(v)

74°

Question 4

4.

The vertex opposite to the side
AB

(i)

B
(ii)

C
(iii)

A
(iv)

CD

Question 5

5.

In a right-angled triangle, the two acute angles are in the ratio 4 : 5. Find these angles.

(i)

A

=

38°

,

C

=

48°
(ii)

A

=

41°

,

C

=

51°
(iii)

A

=

42°

,

C

=

52°
(iv)

A

=

39°

,

C

=

49°
(v)

A

=

40°

,

C

=

50°

Question 6

6.

In a right-angled triangle if one of the acute angles is 47°, find the measure of the other acute angle.

(i)

45°
(ii)

41°
(iii)

43°
(iv)

44°
(v)

42°

Question 7

7.

In the given figure, if KH = IK and HL = LJ , find the value of x.

(i)

x

=

62°
(ii)

x

=

61°
(iii)

x

=

60°
(iv)

x

=

59°
(v)

x

=

58°

Question 8

8.

Two angles of a triangle measure 64° and 67° respectively. Find the measure of the third angle of the triangle

(i)

48°
(ii)

47°
(iii)

49°
(iv)

50°
(v)

51°

Question 9

9.

In a right angled triangle, if one of the angles is 33.69°, find the third angle

(i)

56.31°
(ii)

71.31°
(iii)

61.31°
(iv)

66.31°
(v)

86.31°

Question 10

10.

Calculate the value of x in the following figure

(i)

x

=

44.32°
(ii)

x

=

47.32°
(iii)

x

=

45.32°
(iv)

x

=

46.32°
(v)

x

=

48.32°

Question 11

11.

The vertex opposite to the side
GH

(i)

G
(ii)

HI
(iii)

F
(iv)

J

Question 12

12.

Find the angles of the triangle

(i)

A

=

60°

,

B

=

43°

,

C

=

77°
(ii)

A

=

60°

,

B

=

45°

,

C

=

75°
(iii)

A

=

58°

,

B

=

45°

,

C

=

77°
(iv)

A

=

62°

,

B

=

45°

,

C

=

73°
(v)

A

=

58°

,

B

=

47°

,

C

=

75°

Question 13

13.

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

(i)

44°
(ii)

47°
(iii)

46°
(iv)

43°
(v)

45°

Question 14

14.

In the given figure, find ∠HIG

(i)

55°
(ii)

51°
(iii)

52°
(iv)

53°
(v)

54°

Question 15

15.

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

a)

LJ
=
JK

b)

JK
=
KL

c)

KL
≠
LJ

d)

JK
≠
KL

e)

KL
=
LJ

f)

LJ
≠
JK

(i)

{e,a,c}
(ii)

{e,c}
(iii)

{a,c,d}
(iv)

{f,b,d}
(v)

{b,a}

Question 16

16.

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

a)

GH
=
HI

b)

GH
≠
HI

c)

IG
≠
GH

d)

HI
≠
IG

e)

HI
=
IG

f)

IG
=
GH

(i)

{c,a,e}
(ii)

{c,e}
(iii)

{d,b,f}
(iv)

{a,e,f}
(v)

{b,a}

Question 17

17.

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

a)

IJ
≠
JK

b)

KI
=
IJ

c)

IJ
=
JK

d)

JK
≠
KI

e)

JK
=
KI

f)

KI
≠
IJ

(i)

{c,a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{a,d,f}
(v)

{e,b,f}

Question 18

18.

Which of the following are measures of an equilateral triangle ?

(i)

IJ = 12 cm , JK = 13 cm , KI = 10 cm
(ii)

IJ = 12 cm , JK = 14 cm , KI = 12 cm
(iii)

IJ = 12 cm , JK = 12 cm , KI = 12 cm
(iv)

IJ = 13 cm , JK = 11 cm , KI = 17.03 cm
(v)

IJ = 10 cm , JK = 10 cm , KI = 14.14 cm

Question 19

19.

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

(i)

x

=

36°

,

y

=

61°

,

z

=

83°
(ii)

x

=

34°

,

y

=

65°

,

z

=

81°
(iii)

x

=

38°

,

y

=

63°

,

z

=

79°
(iv)

x

=

34°

,

y

=

63°

,

z

=

83°
(v)

x

=

36°

,

y

=

63°

,

z

=

81°

Question 20

20.

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

(i)

D

=

58°

,

E

=

45°

,

F

=

77°
(ii)

D

=

60°

,

E

=

45°

,

F

=

75°
(iii)

D

=

60°

,

E

=

43°

,

F

=

77°
(iv)

D

=

62°

,

E

=

45°

,

F

=

73°
(v)

D

=

58°

,

E

=

47°

,

F

=

75°

Question 21

21.

In △IJK, if ∠I = 50° and ∠J = 70°, find the measure of ∠K

(i)

K

=

59°
(ii)

K

=

58°
(iii)

K

=

61°
(iv)

K

=

62°
(v)

K

=

60°

Question 22

22.

In below given figure, find ∠JGH

(i)

47.59°
(ii)

49.59°
(iii)

50.59°
(iv)

46.59°
(v)

48.59°

Question 23

23.

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

(i)

I

=

52°

,

J

=

36°

,

K

=

92°
(ii)

I

=

56°

,

J

=

36°

,

K

=

88°
(iii)

I

=

54°

,

J

=

36°

,

K

=

90°
(iv)

I

=

54°

,

J

=

34°

,

K

=

92°
(v)

I

=

52°

,

J

=

38°

,

K

=

90°

Question 24

24.

One angle of a triangle measures 54° and the other two angles are in the ratio 5 : 9. Find these angles.

(i)

B

=

45°

,

C

=

81°
(ii)

B

=

43°

,

C

=

79°
(iii)

B

=

44°

,

C

=

80°
(iv)

B

=

47°

,

C

=

83°
(v)

B

=

46°

,

C

=

82°

Question 25

25.

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

(i)

∠I = 130.54° , ∠J = 22.33° , ∠K = 27.13°
(ii)

∠I = 47.16° , ∠J = 66.42° , ∠K = 66.42°
(iii)

∠I = 40.6° , ∠J = 90° , ∠K = 49.4°
(iv)

∠I = 60° , ∠J = 60° , ∠K = 60°
(v)

∠I = 45.21° , ∠J = 51.32° , ∠K = 83.47°

Assignment Key