EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following angles form a linear pair?
(i)
(∠COD,∠DOE)
(ii)
(∠AOB,∠BOC)
(iii)
(∠EOF,∠FOA)
(iv)
(∠BOC,∠COD)
(v)
(∠DOE,∠EOF)
Question
2
2.
The following angle represents
(i)
obtuse angle
(ii)
zero angle
(iii)
right angle
(iv)
straight angle
(v)
complete angle
Question
3
3.
In the given figure, t , u , v , w , x , y are lines in a plane. By looking at the figure, which of the following are true?
a)
w
is the transversal of
t
&
u
b)
t
∥
u
c)
t
∥
w
d)
x
is the transversal of
v
&
w
e)
y
is the transversal of
v
&
t
f)
t
is the transversal of
v
&
x
(i)
{f,b}
(ii)
{c,a}
(iii)
{a,b,d,e}
(iv)
{c,e,a}
(v)
{c,f,d}
Question
4
4.
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
(i)
62°
(ii)
59°
(iii)
60°
(iv)
58°
(v)
61°
Question
5
5.
Identify the figure below
(i)
hexagon
(ii)
quadrilateral
(iii)
angle
(iv)
nonagon
(v)
octagon
Question
6
6.
Find the adjacent angles in the given figure
(i)
∠3 , ∠6 ; ∠4 , ∠5
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iv)
∠3 , ∠5 ; ∠4 , ∠6
(v)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question
7
7.
The following angle represents
(i)
obtuse angle
(ii)
right angle
(iii)
acute angle
(iv)
reflex angle
(v)
zero angle
Question
8
8.
Find the vertically opposite angles in the given figure
(i)
∠3 , ∠5 ; ∠4 , ∠6
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iv)
∠3 , ∠4 , ∠5 , ∠6
(v)
∠3 , ∠6 ; ∠4 , ∠5
Question
9
9.
The following angle represents
(i)
reflex angle
(ii)
complete angle
(iii)
right angle
(iv)
obtuse angle
(v)
acute angle
Question
10
10.
The representation
⟶
BC
indicates
(i)
angle
(ii)
arc
(iii)
line segment
(iv)
line
(v)
ray
Question
11
11.
In which of the figures given bellow, l ∥ m?
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
12
12.
Find the interior angles in the given figure
(i)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠1 , ∠2 , ∠7 , ∠8
Question
13
13.
One of the two equal angles of an isosceles triangle measures 38°. Find the measure of each angle of the triangle.
(i)
A
=
36°
,
B
=
40°
,
C
=
104°
(ii)
A
=
36°
,
B
=
38°
,
C
=
106°
(iii)
A
=
38°
,
B
=
36°
,
C
=
106°
(iv)
A
=
38°
,
B
=
38°
,
C
=
104°
(v)
A
=
40°
,
B
=
38°
,
C
=
102°
Question
14
14.
Find the number of right angles covered by the hour hand of clock when it goes from 7 to 11
(i)
2
(ii)
4
(iii)
3
(iv)
1
(v)
0
Question
15
15.
Find the value of 'p' in the following figure
(i)
42°
(ii)
67°
(iii)
52°
(iv)
47°
(v)
37°
Question
16
16.
Which of the given figures is correct?
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
17
17.
Where will the hour hand of a clock stop, if it starts from 4 and turns through 2 right angles?
(i)
10
(ii)
9
(iii)
11
(iv)
8
(v)
12
Question
18
18.
Find the unknown marked angles in the following figure
(i)
x
=
111°
,
y
=
149°
(ii)
x
=
113°
,
y
=
151°
(iii)
x
=
115°
,
y
=
153°
(iv)
x
=
112°
,
y
=
150°
(v)
x
=
114°
,
y
=
152°
Question
19
19.
What fraction of clockwise revolution does the hour hand of a clock covers, when it goes from 8 to 3?
(i)
5
12
(ii)
7
10
(iii)
3
4
(iv)
1
2
(v)
7
12
Question
20
20.
The following angle represents
(i)
straight angle
(ii)
reflex angle
(iii)
acute angle
(iv)
complete angle
(v)
zero angle
Question
21
21.
Which of the following is an obtuse angle?
(i)
68°
(ii)
116°
(iii)
90°
(iv)
180°
(v)
277°
Question
22
22.
Find the value of k in the figure below
(i)
13
(ii)
14
(iii)
10
(iv)
11
(v)
12
Question
23
23.
Which of the following are true with respect to lines o , p , q , r where o ∥ p , p ⟂ q , q ⟂ r?
a)
o
⟂
r
b)
p
∥
r
c)
o
∥
r
d)
q
∥
r
e)
o
∥
q
(i)
{b,c}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{d,c,b}
(v)
{e,a,b}
Question
24
24.
In the given figure, if DG = HD, find the values of x , y , z and t
(i)
x =59.58°, y =26.32°, z =25.05° , t =119.79°
(ii)
x =59.58°, y =26.32°, z =24.05° , t =118.79°
(iii)
x =59.58°, y =28.32°, z =27.05° , t =119.79°
(iv)
x =59.58°, y =24.32°, z =23.05° , t =119.79°
(v)
x =59.58°, y =26.32°, z =26.05° , t =120.79°
Question
25
25.
State the angle between the two hands of the clock when the time is 8 A.M.
(i)
135°
(ii)
125°
(iii)
130°
(iv)
150°
(v)
120°
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (iii)
5) (iii)
6) (v)
7) (iv)
8) (iii)
9) (iv)
10) (v)
11) (ii)
12) (iii)
13) (iv)
14) (iv)
15) (v)
16) (i)
17) (i)
18) (ii)
19) (v)
20) (i)
21) (ii)
22) (v)
23) (i)
24) (i)
25) (v)