EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the given figures is wrong?
(i)
II
(ii)
III
(iii)
IV
(iv)
I
Question
2
2.
Which of the following angles form a linear pair?
(i)
(∠AOB,∠BOC)
(ii)
(∠EOF,∠FOA)
(iii)
(∠BOC,∠COD)
(iv)
(∠COD,∠DOE)
(v)
(∠DOE,∠EOF)
Question
3
3.
In the given figure, find the value of x.
(i)
x
=
25.5°
(ii)
x
=
29.5°
(iii)
x
=
26.5°
(iv)
x
=
27.5°
(v)
x
=
28.5°
Question
4
4.
The following lines represent
(i)
concurrent lines
(ii)
coplanar lines
(iii)
perpendicular lines
(iv)
parallel lines
(v)
intersecting lines
Question
5
5.
Which of the following is a right angle?
(i)
360°
(ii)
79°
(iii)
0°
(iv)
90°
(v)
167°
Question
6
6.
The following angle represents
(i)
complete angle
(ii)
acute angle
(iii)
obtuse angle
(iv)
straight angle
(v)
zero angle
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)
60°
(ii)
59°
(iii)
62°
(iv)
58°
(v)
61°
Question
8
8.
Find the co-interior angles in the given figure
(i)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
9
9.
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
10
10.
Find the value of 'q'
(i)
85°
(ii)
105°
(iii)
90°
(iv)
80°
(v)
75°
Question
11
11.
One angle of a triangle measures 20° and the other two angles are in the ratio 3 : 13. Find these angles.
(i)
B
=
31°
,
C
=
131°
(ii)
B
=
28°
,
C
=
128°
(iii)
B
=
32°
,
C
=
132°
(iv)
B
=
29°
,
C
=
129°
(v)
B
=
30°
,
C
=
130°
Question
12
12.
If l ∥ m, which of the given figures is correct?
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
13
13.
Find the value of x in the given figure.
(i)
x
=
22°
(ii)
x
=
23°
(iii)
x
=
25°
(iv)
x
=
26°
(v)
x
=
24°
Question
14
14.
The following angle represents
(i)
zero angle
(ii)
complete angle
(iii)
obtuse angle
(iv)
reflex angle
(v)
straight angle
Question
15
15.
In the given figure, calculate the value of x.
(i)
x
=
44.72°
(ii)
x
=
46.72°
(iii)
x
=
45.72°
(iv)
x
=
43.72°
(v)
x
=
42.72°
Question
16
16.
State the angle between the two hands of the clock when the time is 1 A.M.
(i)
45°
(ii)
30°
(iii)
60°
(iv)
35°
(v)
40°
Question
17
17.
The representation
⟷
EF
indicates
(i)
arc
(ii)
angle
(iii)
ray
(iv)
line
(v)
line segment
Question
18
18.
In the given figure l ∥ m. Find the value of 't'
(i)
10
(ii)
13
(iii)
12
(iv)
14
(v)
11
Question
19
19.
In the given figure, find the values of x ,y and z.
(i)
x
=
86°
,
y
=
52°
,
z
=
78°
(ii)
x
=
90°
,
y
=
52°
,
z
=
74°
(iii)
x
=
88°
,
y
=
52°
,
z
=
76°
(iv)
x
=
88°
,
y
=
50°
,
z
=
78°
(v)
x
=
86°
,
y
=
54°
,
z
=
76°
Question
20
20.
Which of the following are adjacent angles in the below figure?
(i)
∠KOI , ∠MON
(ii)
∠JOK , ∠LOM
(iii)
∠IOJ , ∠JOK
(iv)
∠MON , ∠JOK
(v)
∠LOM , ∠JOK
Question
21
21.
In the given figure, i , j , k , l , m , n are lines in a plane. By looking at the figure, which of the following are true?
a)
i
is the transversal of
k
&
m
b)
n
is the transversal of
k
&
i
c)
m
is the transversal of
k
&
l
d)
i
∥
j
e)
l
is the transversal of
i
&
j
f)
i
∥
l
(i)
{b,c,d,e}
(ii)
{f,c}
(iii)
{a,f,d}
(iv)
{a,b}
(v)
{a,e,b}
Question
22
22.
In △EFG, if ∠E = 64° and ∠F = 67°, find the measure of ∠G
(i)
G
=
47°
(ii)
G
=
50°
(iii)
G
=
51°
(iv)
G
=
49°
(v)
G
=
48°
Question
23
23.
In the given figure, calculate the value of x.
(i)
x
=
134°
(ii)
x
=
135°
(iii)
x
=
133°
(iv)
x
=
132°
(v)
x
=
136°
Question
24
24.
Points lying on the same line are called
(i)
collinear points
(ii)
semi-linear points
(iii)
linear points
(iv)
non-linear points
(v)
concurrent points
Question
25
25.
Find the vertically opposite angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠4 , ∠5 , ∠6
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iii)
5) (iv)
6) (i)
7) (i)
8) (ii)
9) (iii)
10) (v)
11) (v)
12) (iv)
13) (v)
14) (iii)
15) (i)
16) (ii)
17) (iv)
18) (iii)
19) (iii)
20) (iii)
21) (i)
22) (iv)
23) (i)
24) (i)
25) (i)