EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Find the co-interior angles in the given figure
(i)
∠1 , ∠2 , ∠7 , ∠8
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
2
2.
The following angle represents
(i)
acute angle
(ii)
reflex angle
(iii)
right angle
(iv)
straight angle
(v)
complete angle
Question
3
3.
Identify the figure below
(i)
angle
(ii)
decagon
(iii)
pentagon
(iv)
nonagon
(v)
triangle
Question
4
4.
What fraction of clockwise revolution does the hour hand of a clock covers, when it goes from 12 to 2?
(i)
1
2
(ii)
1
6
(iii)
1
4
(iv)
1
8
(v)
(
-1
6
)
Question
5
5.
In the given figure, KL ∥ MN and KM = MO. Find the values of x,y and z.
(i)
x
=
30°
,
y
=
59°
,
z
=
60°
(ii)
x
=
28°
,
y
=
63°
,
z
=
58°
(iii)
x
=
30°
,
y
=
61°
,
z
=
58°
(iv)
x
=
28°
,
y
=
61°
,
z
=
60°
(v)
x
=
32°
,
y
=
61°
,
z
=
56°
Question
6
6.
The following lines represent
(i)
coplanar lines
(ii)
concurrent lines
(iii)
perpendicular lines
(iv)
parallel lines
(v)
intersecting lines
Question
7
7.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
61°
(ii)
60°
(iii)
59°
(iv)
58°
(v)
62°
Question
8
8.
In a right angled triangle, if one of the angles is 51.34°, find the third angle
(i)
53.66°
(ii)
48.66°
(iii)
38.66°
(iv)
43.66°
(v)
68.66°
Question
9
9.
Which of the given figures is correct?
(i)
III
(ii)
I
(iii)
IV
(iv)
II
Question
10
10.
Find the value of 'i' in the following figure
(i)
13
(ii)
9
(iii)
10
(iv)
11
(v)
8
Question
11
11.
The following angle represents
(i)
zero angle
(ii)
straight angle
(iii)
right angle
(iv)
complete angle
(v)
acute angle
Question
12
12.
In the given figure, find the values of x ,y and z.
(i)
x
=
82°
,
y
=
58°
,
z
=
62°
(ii)
x
=
78°
,
y
=
60°
,
z
=
64°
(iii)
x
=
78°
,
y
=
58°
,
z
=
66°
(iv)
x
=
80°
,
y
=
58°
,
z
=
64°
(v)
x
=
80°
,
y
=
56°
,
z
=
66°
Question
13
13.
In the given figure, PQ ∥ RS, ∠HEQ = 55° and EF = GE. Find the measure of x.
(i)
x
=
69°
(ii)
x
=
72°
(iii)
x
=
70°
(iv)
x
=
68°
(v)
x
=
71°
Question
14
14.
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
=
47°
,
Y
=
90°
,
Z
=
43°
(iii)
X
=
43°
,
Y
=
92°
,
Z
=
45°
(iv)
X
=
45°
,
Y
=
88°
,
Z
=
47°
(v)
X
=
45°
,
Y
=
90°
,
Z
=
45°
Question
15
15.
In the given figure l ∥ m. Find the value of 'q'
(i)
62°
(ii)
82°
(iii)
57°
(iv)
67°
(v)
52°
Question
16
16.
Every simple closed curve divides a plane into how many sets of points?
(i)
3
(ii)
4
(iii)
0
(iv)
6
(v)
2
Question
17
17.
Which of the following angles form a linear pair?
(i)
(∠BOC,∠COD)
(ii)
(∠AOB,∠BOC)
(iii)
(∠DOE,∠EOA)
(iv)
(∠COD,∠DOE)
Question
18
18.
The complementary angle of
75°
is
(i)
30°
(ii)
25°
(iii)
15°
(iv)
45°
(v)
20°
Question
19
19.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{a,b,c,d,e,f}
(i)
95
°
,
38
°
,
38
°
,
47
°
,
95
°
,
47
°
(ii)
38
°
,
47
°
,
95
°
,
47
°
,
38
°
,
95
°
(iii)
47
°
,
95
°
,
95
°
,
38
°
,
47
°
,
38
°
(iv)
47
°
,
38
°
,
95
°
,
47
°
,
38
°
,
95
°
(v)
95
°
,
38
°
,
47
°
,
47
°
,
38
°
,
95
°
Question
20
20.
Find the number of right angles covered by the hour hand of clock when it goes from 5 to 11
(i)
0
(ii)
2
(iii)
4
(iv)
1
(v)
3
Question
21
21.
In the given figure, if JH = JK = KI, find the value of x
(i)
x
=
34°
(ii)
x
=
31°
(iii)
x
=
32°
(iv)
x
=
33°
(v)
x
=
30°
Question
22
22.
Find the exterior alternate angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
23
23.
Which of the following is the largest angle in the given figure?
(i)
∠QOR
(ii)
∠POS
(iii)
∠POR
(iv)
∠QOS
(v)
∠POQ
Question
24
24.
Find the corresponding angles in the given figure
(i)
∠1 , ∠2 , ∠7 , ∠8
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
25
25.
In the given figure, find the values of x ,y and z.
(i)
x
=
42°
,
y
=
38°
,
z
=
84°
(ii)
x
=
44°
,
y
=
40°
,
z
=
80°
(iii)
x
=
40°
,
y
=
42°
,
z
=
82°
(iv)
x
=
40°
,
y
=
40°
,
z
=
84°
(v)
x
=
42°
,
y
=
40°
,
z
=
82°
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (ii)
5) (iii)
6) (iv)
7) (ii)
8) (iii)
9) (iii)
10) (iii)
11) (iv)
12) (iv)
13) (iii)
14) (v)
15) (v)
16) (i)
17) (iv)
18) (iii)
19) (iv)
20) (ii)
21) (iii)
22) (v)
23) (ii)
24) (v)
25) (v)