EduSahara™ Worksheet

Question 1

1.

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

(i)

x

=

58°

,

y

=

45°

,

z

=

77°
(ii)

x

=

60°

,

y

=

45°

,

z

=

75°
(iii)

x

=

62°

,

y

=

45°

,

z

=

73°
(iv)

x

=

58°

,

y

=

47°

,

z

=

75°
(v)

x

=

60°

,

y

=

43°

,

z

=

77°

Question 2

2.

The vertex opposite to the side
EC

(i)

EF
(ii)

D
(iii)

G
(iv)

C

Question 3

3.

With the data in the given figure, △FOG ≅ △FOH by which property?

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 4

4.

In the given figure, △IJK in which side JK has been produced to L. If ∠KIJ = x° , ∠IJK = (7/3a)° , ∠JKI = (1a)° and ∠IKL = (5a)°, find the values of a and x.

(i)

a

=

32°

,

x

=

82°
(ii)

a

=

31°

,

x

=

81°
(iii)

a

=

28°

,

x

=

78°
(iv)

a

=

29°

,

x

=

79°
(v)

a

=

30°

,

x

=

80°

Question 5

5.

In the given figure, which pair of triangles are not congruent ?

(i)

fig 3
(ii)

fig 4
(iii)

fig 1
(iv)

fig 2

Question 6

6.

In the given figure, calculate the value of x.

(i)

x

=

23.5°
(ii)

x

=

20.5°
(iii)

x

=

22.5°
(iv)

x

=

24.5°
(v)

x

=

21.5°

Question 7

7.

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

(i)

OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
(ii)

OP = 15 cm , PQ = 23 cm , QO = 12 cm
(iii)

OP = 13 cm , PQ = 13 cm , QO = 13 cm
(iv)

OP = 13 cm , PQ = 11 cm , QO = 17.03 cm
(v)

OP = 10 cm , PQ = 10 cm , QO = 13 cm

Question 8

8.

The side opposite to the vertex
D

(i)

DB
(ii)

BC
(iii)

BF
(iv)

CD
(v)

EC

Question 9

9.

In the given figure , if JG ⟂ HI and ∠GHJ = 53.94°, find ∠IGJ

(i)

22.60°
(ii)

24.60°
(iii)

25.60°
(iv)

23.60°
(v)

21.60°

Question 10

10.

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

(i)

K

=

40°

,

L

=

33°

,

M

=

107°
(ii)

K

=

38°

,

L

=

35°

,

M

=

107°
(iii)

K

=

40°

,

L

=

35°

,

M

=

105°
(iv)

K

=

38°

,

L

=

37°

,

M

=

105°
(v)

K

=

42°

,

L

=

35°

,

M

=

103°

Question 11

11.

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

(i)

∠C = 55.83° , ∠D = 74.85° , ∠E = 49.32°
(ii)

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

∠C = 40.91° , ∠D = 90° , ∠E = 49.09°
(iv)

∠C = 110.26° , ∠D = 37.72° , ∠E = 32.02°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 12

12.

Find the unknown marked angles in the following figure

(i)

x

=

108°

,

y

=

108°
(ii)

x

=

111°

,

y

=

111°
(iii)

x

=

112°

,

y

=

112°
(iv)

x

=

109°

,

y

=

109°
(v)

x

=

110°

,

y

=

110°

Question 13

13.

In the given figure , if IF ⟂ GH and ∠FGI = 50.96°, find ∠IFG

(i)

39.04°
(ii)

40.04°
(iii)

37.04°
(iv)

41.04°
(v)

38.04°

Question 14

14.

The angles of the triangle are

(i)

∠A , ∠B , ∠C
(ii)

∠B , ∠C , ∠D
(iii)

∠C , ∠D , ∠E
(iv)

∠B , ∠C , ∠E
(v)

∠A , ∠B , ∠D

Question 15

15.

Find the value of x in the given figure.

(i)

x

=

32°
(ii)

x

=

29°
(iii)

x

=

33°
(iv)

x

=

31°
(v)

x

=

30°

Question 16

16.

In the given figure, BC ∥ DE and BD = DF. Find the values of x,y and z.

(i)

x

=

37°

,

y

=

77°

,

z

=

30°
(ii)

x

=

39°

,

y

=

75°

,

z

=

30°
(iii)

x

=

41°

,

y

=

75°

,

z

=

28°
(iv)

x

=

37°

,

y

=

75°

,

z

=

32°
(v)

x

=

39°

,

y

=

73°

,

z

=

32°

Question 17

17.

One of the two equal angles of an isosceles triangle measures 49°. Find the measure of each angle of the triangle.

(i)

A

=

47°

,

B

=

49°

,

C

=

84°
(ii)

A

=

47°

,

B

=

51°

,

C

=

82°
(iii)

A

=

51°

,

B

=

49°

,

C

=

80°
(iv)

A

=

49°

,

B

=

49°

,

C

=

82°
(v)

A

=

49°

,

B

=

47°

,

C

=

84°

Question 18

18.

The vertex opposite to the side
VW

(i)

W
(ii)

XY
(iii)

X
(iv)

V

Question 19

19.

With the data in the given figure, △OKJ ≅ △OIH by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 20

20.

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

(i)

∠J = 95.22° , ∠K = 44.66° , ∠L = 40.12°
(ii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iii)

∠J = 41.65° , ∠K = 85.46° , ∠L = 52.89°
(iv)

∠J = 45° , ∠K = 90° , ∠L = 45°
(v)

∠J = 49.32° , ∠K = 55.83° , ∠L = 74.85°

Question 21

21.

Find the unknown angle in the following figure

(i)

x

=

60.87°
(ii)

x

=

63.87°
(iii)

x

=

62.87°
(iv)

x

=

61.87°
(v)

x

=

59.87°

Question 22

22.

With the given data in the figure, △BCD ≅ △EDC by which property?

(i)

ASA Congruency
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

not congruent
(v)

SAS Congruency

Question 23

23.

In the given figure, find the value of x.

(i)

x

=

24.5°
(ii)

x

=

21.5°
(iii)

x

=

20.5°
(iv)

x

=

22.5°
(v)

x

=

23.5°

Question 24

24.

With the data in the figure, △BEC ≅ △DEC by which property?

(i)

ASA Congruency
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 25

25.

In the given figure, if FD = FG = GE, find the value of x

(i)

x

=

24°
(ii)

x

=

22°
(iii)

x

=

25°
(iv)

x

=

23°
(v)

x

=

26°

Assignment Key