EduSahara™ Worksheet

Question 1

1.

Find the complementary angles pair in the following

(i)

87°,53°
(ii)

57°,33°
(iii)

47°,33°
(iv)

67°,43°
(v)

97°,63°

Question 2

2.

Which of the following figures represent a line?

(i)

fig 1
(ii)

fig 3
(iii)

fig 2

Question 3

3.

The following angle represents

(i)

right angle
(ii)

acute angle
(iii)

zero angle
(iv)

obtuse angle
(v)

complete angle

Question 4

4.

In the given figure, if BE = FB, find the values of x , y , z and t

(i)

x =67.62°, y =25.8°, z =24.41° , t =122.81°
(ii)

x =67.62°, y =25.8°, z =26.41° , t =124.81°
(iii)

x =67.62°, y =27.8°, z =27.41° , t =123.81°
(iv)

x =67.62°, y =25.8°, z =25.41° , t =123.81°
(v)

x =67.62°, y =23.8°, z =23.41° , t =123.81°

Question 5

5.

The following lines represent

(i)

coplanar lines
(ii)

perpendicular lines
(iii)

intersecting lines
(iv)

parallel lines
(v)

concurrent lines

Question 6

6.

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

(i)

X

=

47°

,

Y

=

90°

,

Z

=

43°
(ii)

X

=

43°

,

Y

=

92°

,

Z

=

45°
(iii)

X

=

45°

,

Y

=

88°

,

Z

=

47°
(iv)

X

=

43°

,

Y

=

90°

,

Z

=

47°
(v)

X

=

45°

,

Y

=

90°

,

Z

=

45°

Question 7

7.

The following angle represents

(i)

zero angle
(ii)

reflex angle
(iii)

acute angle
(iv)

complete angle
(v)

obtuse angle

Question 8

8.

(i)

119°
(ii)

122°
(iii)

121°
(iv)

120°
(v)

118°

Question 9

9.

Which of the following figures represent a ray?

(i)

fig 3
(ii)

fig 2
(iii)

fig 1

Question 10

10.

The complementary angle of
71°
is

(i)

29°
(ii)

24°
(iii)

34°
(iv)

49°
(v)

19°

Question 11

11.

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

(i)

44°
(ii)

43°
(iii)

45°
(iv)

46°
(v)

47°

Question 12

12.

In the given figure l ∥ m. Find the value of 'y'

(i)

21
(ii)

20
(iii)

18
(iv)

19
(v)

22

Question 13

13.

Find the interior alternate angles in the given figure

(i)

∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(ii)

∠3 , ∠6 ; ∠4 , ∠5
(iii)

∠3 , ∠4 , ∠5 , ∠6
(iv)

∠1 , ∠2 , ∠7 , ∠8
(v)

∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7

Question 14

14.

Find the unknown marked angles in the following figure

(i)

x

=

114°

,

y

=

152°
(ii)

x

=

113°

,

y

=

151°
(iii)

x

=

112°

,

y

=

150°
(iv)

x

=

110°

,

y

=

148°
(v)

x

=

111°

,

y

=

149°

Question 15

15.

In the given figurel ∥ m. Find the value of 't'

(i)

59°
(ii)

74°
(iii)

44°
(iv)

54°
(v)

49°

Question 16

16.

(i)

70

°

,

66

°

,

44

°

,

70

°

,

66

°

,

44

°
(ii)

70

°

,

44

°

,

66

°

,

70

°

,

66

°

,

44

°
(iii)

70

°

,

44

°

,

66

°

,

70

°

,

44

°

,

66

°
(iv)

44

°

,

66

°

,

44

°

,

70

°

,

66

°

,

70

°
(v)

66

°

,

70

°

,

44

°

,

66

°

,

44

°

,

70

°

Question 17

17.

Which of the following are true?

a)	Capital letters are used to represent points
b)	Small letters are used to represent lines
c)	The length of a line segment cannot be determined
d)	A ray has an infinite number of points on it
e)	A line has an infinite number of points on it

(i)

{c,b}
(ii)

{c,a}
(iii)

{c,d}
(iv)

{a,b,d,e}
(v)

{c,e,a}

Question 18

18.

Identify the figure below

(i)

decagon
(ii)

triangle
(iii)

angle
(iv)

heptagon
(v)

hexagon

Question 19

19.

Which of the given figures is wrong?

(i)

III
(ii)

IV
(iii)

II
(iv)

I

Question 20

20.

Identify the figure below

(i)

nonagon
(ii)

octagon
(iii)

circle
(iv)

angle
(v)

heptagon

Question 21

21.

If l ∥ m, which of the given figures is correct?

(i)

III
(ii)

II
(iii)

IV
(iv)

I

Question 22

22.

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

(i)

58°
(ii)

61°
(iii)

59°
(iv)

60°
(v)

62°

Question 23

23.

Every simple closed curve divides a plane into how many sets of points?

(i)

0
(ii)

2
(iii)

4
(iv)

5
(v)

3

Question 24

24.

Which of the following are true?

a)	If w ⟂ x and w ⟂ y , then x ⟂ y
b)	If w ⟂ x and x ⟂ y , then w ⟂ y
c)	If two lines are parallel to the same line, then they are parallel to each other
d)	If two lines are parallel to the same line, then they are perpendicular to each other
e)	If w ∥ x and x ∥ y , then w ∥ y

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{c,e}
(v)

{b,e,c}

Question 25

25.

In the following figure CD ∥ FE, find the values of x and y.

(i)

x

=

47°

,

y

=

89°
(ii)

x

=

44°

,

y

=

86°
(iii)

x

=

46°

,

y

=

88°
(iv)

x

=

45°

,

y

=

87°
(v)

x

=

48°

,

y

=

90°

Assignment Key