EduSahara™ Worksheet

Question 1

1.

In the given figure, find ∠GHF

(i)

57°
(ii)

56°
(iii)

59°
(iv)

58°
(v)

60°

Question 2

2.

The sides of the triangle are

(i)

QR

,

RP

,

PQ
(ii)

RS

,

SQ

,

QR
(iii)

PQ

,

QO

,

OP
(iv)

PR

,

RO

,

OP
(v)

QS

,

SP

,

PQ

Question 3

3.

In the given figure, find ∠FJI

(i)

142°
(ii)

141°
(iii)

139°
(iv)

138°
(v)

140°

Question 4

4.

In the given figure, ∠C = 52.87° and ∠D = 63.06°.

Side DE is produced to F, so that ∠DEC and ∠CEF form a linear pair.

(i)

x

=

32.03°

,

y

=

57.97°
(ii)

x

=

30.03°

,

y

=

55.97°
(iii)

x

=

33.03°

,

y

=

58.97°
(iv)

x

=

34.03°

,

y

=

59.97°
(v)

x

=

31.03°

,

y

=

56.97°

Question 5

5.

Find the unknown angle in the following figure

(i)

x

=

134°
(ii)

x

=

137°
(iii)

x

=

135°
(iv)

x

=

133°
(v)

x

=

136°

Question 6

6.

In a right-angled triangle if one of the acute angles is 38°, find the measure of the other acute angle.

(i)

53°
(ii)

51°
(iii)

50°
(iv)

54°
(v)

52°

Question 7

7.

The median corresponding to the side
OM

(i)

MP
(ii)

NQ
(iii)

OR
(iv)

MN
(v)

MQ

Question 8

8.

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

(i)

incentre
(ii)

centroid
(iii)

circumcentre
(iv)

orthocentre
(v)

median

Question 9

9.

Which of the following are measures of an isosceles triangle ?

(i)

DE = 10 cm , EF = 10 cm , FD = 10 cm
(ii)

DE = 10 cm , EF = 13 cm , FD = 16.4 cm
(iii)

DE = 11 cm , EF = 15 cm , FD = 11 cm
(iv)

DE = 14 cm , EF = 15 cm , FD = 12 cm
(v)

DE = 12 cm , EF = 11 cm , FD = 15 cm

Question 10

10.

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

a)	∠C ≠ ∠A
b)	∠B = ∠C
c)	∠A = ∠B
d)	∠C = ∠A
e)	∠A ≠ ∠B
f)	∠B ≠ ∠C

(i)

{a,b,e}
(ii)

{c,a}
(iii)

{d,a,b}
(iv)

{d,b}
(v)

{f,c,e}

Question 11

11.

In the given figure, △FGH is a triangle in which ∠G = 61.42° and ∠H = 55.14°.

If 'z' is the angle between the bisector of ∠G and ∠H, then find z.

(i)

123.72°
(ii)

122.72°
(iii)

120.72°
(iv)

121.72°
(v)

119.72°

Question 12

12.

In the given figure, calculate the value of x.

(i)

x

=

21.5°
(ii)

x

=

20.5°
(iii)

x

=

24.5°
(iv)

x

=

23.5°
(v)

x

=

22.5°

Question 13

13.

Identify the points that are inside the triangle

(i)

{C,G}
(ii)

{D,G}
(iii)

{B,E}
(iv)

{C,E}
(v)

{C,F}

Question 14

14.

Find the unknown marked angles in the following figure

(i)

x

=

116°

,

y

=

51°
(ii)

x

=

117°

,

y

=

52°
(iii)

x

=

115°

,

y

=

50°
(iv)

x

=

113°

,

y

=

48°
(v)

x

=

114°

,

y

=

49°

Question 15

15.

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

(i)

GH = 14 cm , HI = 11 cm , IG = 12 cm
(ii)

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

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

GH = 10 cm , HI = 15 cm , IG = 18.03 cm
(v)

GH = 15 cm , HI = 20 cm , IG = 12 cm

Question 16

16.

Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle

(i)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(ii)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(iii)

X

=

45°

,

Y

=

90°

,

Z

=

45°
(iv)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(v)

X

=

43°

,

Y

=

92°

,

Z

=

45°

Question 17

17.

Which of the following are measures of a scalene triangle ?

(i)

MN = 10 cm , NO = 13 cm , OM = 10 cm
(ii)

MN = 13 cm , NO = 12 cm , OM = 15 cm
(iii)

MN = 11 cm , NO = 15 cm , OM = 11 cm
(iv)

MN = 13 cm , NO = 13 cm , OM = 18.38 cm
(v)

MN = 13 cm , NO = 13 cm , OM = 13 cm

Question 18

18.

Which of the following may lie outside or on the triangle?

a)	orthocentre
b)	centroid
c)	circumcentre
d)	excentre
e)	incentre

(i)

{b,a}
(ii)

{b,a,c}
(iii)

{e,c}
(iv)

{a,c,d}
(v)

{b,e,d}

Question 19

19.

In a right angled triangle, if one of the angles is 50.19°, find the third angle

(i)

49.81°
(ii)

44.81°
(iii)

39.81°
(iv)

54.81°
(v)

69.81°

Question 20

20.

Find the unknown marked angles in the following figure

(i)

x

=

106°

,

y

=

106°
(ii)

x

=

107°

,

y

=

107°
(iii)

x

=

105°

,

y

=

105°
(iv)

x

=

109°

,

y

=

109°
(v)

x

=

108°

,

y

=

108°

Question 21

21.

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

(i)

x

=

56.21°

,

y

=

47.65°
(ii)

x

=

58.21°

,

y

=

49.65°
(iii)

x

=

59.21°

,

y

=

50.65°
(iv)

x

=

57.21°

,

y

=

48.65°
(v)

x

=

55.21°

,

y

=

46.65°

Question 22

22.

The side opposite to the vertex
V

(i)

VZ
(ii)

XV
(iii)

VW
(iv)

YW
(v)

WX

Question 23

23.

In the given figure, if FI = JF, find the values of x , y , z and t

(i)

x =46.4°, y =24.3°, z =23.54° , t =113.2°
(ii)

x =46.4°, y =24.3°, z =22.54° , t =112.2°
(iii)

x =46.4°, y =24.3°, z =24.54° , t =114.2°
(iv)

x =46.4°, y =26.3°, z =25.54° , t =113.2°
(v)

x =46.4°, y =22.3°, z =21.54° , t =113.2°

Question 24

24.

The vertex opposite to the side
LM

(i)

O
(ii)

K
(iii)

L
(iv)

MN

Question 25

25.

Calculate the value of x in the following figure

(i)

x

=

88°
(ii)

x

=

90°
(iii)

x

=

91°
(iv)

x

=

89°
(v)

x

=

92°

Assignment Key