EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following are true for corresponding angles?
a)
Both are interior angles
b)
They are on the same side of the transversal
c)
They are on either side of the transversal
d)
They are not adjacent angles
e)
One is interior angle and the other is exterior angle
f)
They are adjacent angles
(i)
{a,b}
(ii)
{b,d,e}
(iii)
{c,b,d}
(iv)
{f,a,e}
(v)
{c,d}
Question
2
2.
In △DEF, if ∠D = 70° and ∠E = 68°, find the measure of ∠F
(i)
F
=
44°
(ii)
F
=
40°
(iii)
F
=
41°
(iv)
F
=
43°
(v)
F
=
42°
Question
3
3.
Find the unknown marked angles in the following figure
(i)
x
=
111°
,
y
=
148°
(ii)
x
=
112°
,
y
=
149°
(iii)
x
=
115°
,
y
=
152°
(iv)
x
=
114°
,
y
=
151°
(v)
x
=
113°
,
y
=
150°
Question
4
4.
One angle of a triangle measures 60° and the other two angles are in the ratio 11 : 13. Find these angles.
(i)
B
=
53°
,
C
=
63°
(ii)
B
=
54°
,
C
=
64°
(iii)
B
=
57°
,
C
=
67°
(iv)
B
=
56°
,
C
=
66°
(v)
B
=
55°
,
C
=
65°
Question
5
5.
In △CDE, if ∠C = 50° and ∠D = ∠E, find the measure of each of the equal angles of the triangle
(i)
67°
(ii)
66°
(iii)
65°
(iv)
64°
(v)
63°
Question
6
6.
Two lines meeting at a point and making an angle of 90° at the meeting point are called
(i)
intersecting lines
(ii)
concurrent lines
(iii)
parallel lines
(iv)
coplanar lines
(v)
perpendicular lines
Question
7
7.
Multiple lines drawn on a plane are called
(i)
concurrent lines
(ii)
intersecting lines
(iii)
coplanar lines
(iv)
perpendicular lines
(v)
parallel lines
Question
8
8.
The following angle represents
(i)
straight angle
(ii)
right angle
(iii)
acute angle
(iv)
reflex angle
(v)
obtuse angle
Question
9
9.
In the given figure,
△BCD
is a triangle in which
∠B
=
∠C
=
∠D
.
This bisectors of
∠C
and
∠D
intersect at
E
.
Find
∠E
=
(i)
120°
(ii)
121°
(iii)
119°
(iv)
122°
(v)
118°
Question
10
10.
A line that intersects two lines at two different points is called
(i)
coplanar lines
(ii)
concurrent lines
(iii)
perpendicular lines
(iv)
parallel lines
(v)
transversal
Question
11
11.
Which of the following is a zero angle?
(i)
360°
(ii)
0°
(iii)
131°
(iv)
180°
(v)
90°
Question
12
12.
In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (2/3a)° , ∠IJH = (1/2a)° and ∠HJK = (5/2a)°, find the values of a and x.
(i)
a
=
60°
,
x
=
110°
(ii)
a
=
62°
,
x
=
112°
(iii)
a
=
59°
,
x
=
109°
(iv)
a
=
61°
,
x
=
111°
(v)
a
=
58°
,
x
=
108°
Question
13
13.
The following angle represents
(i)
straight angle
(ii)
reflex angle
(iii)
complete angle
(iv)
right angle
(v)
zero angle
Question
14
14.
In below given figure, find ∠DGF
(i)
132.15°
(ii)
131.15°
(iii)
133.15°
(iv)
130.15°
(v)
134.15°
Question
15
15.
Which of the following figures represent a line segment?
(i)
fig 1
(ii)
fig 2
(iii)
fig 3
Question
16
16.
In the given figure, find ∠EFD
(i)
67°
(ii)
69°
(iii)
68°
(iv)
65°
(v)
66°
Question
17
17.
Which of the following is a straight angle?
(i)
180°
(ii)
360°
(iii)
300°
(iv)
107°
(v)
89°
Question
18
18.
In the given figure, calculate the value of x.
(i)
x
=
23°
(ii)
x
=
24°
(iii)
x
=
22°
(iv)
x
=
26°
(v)
x
=
25°
Question
19
19.
The representation
⟶
DE
indicates
(i)
line segment
(ii)
line
(iii)
angle
(iv)
arc
(v)
ray
Question
20
20.
Find the value of e in the figure below
(i)
18
(ii)
15
(iii)
19
(iv)
16
(v)
17
Question
21
21.
In the given figure, it is given that ML ∥ ON , ∠MON = 71° and ∠MLK = 79°. Find the value of x.
(i)
x
=
28°
(ii)
x
=
32°
(iii)
x
=
30°
(iv)
x
=
29°
(v)
x
=
31°
Question
22
22.
The supplementary angle of
34°
is
(i)
176°
(ii)
146°
(iii)
161°
(iv)
156°
(v)
151°
Question
23
23.
Calculate the value of the lettered angle in the following figure
(i)
x
=
43°
(ii)
x
=
46°
(iii)
x
=
47°
(iv)
x
=
45°
(v)
x
=
44°
Question
24
24.
Which of the following is a complete angle?
(i)
44°
(ii)
180°
(iii)
0°
(iv)
360°
(v)
90°
Question
25
25.
Which of the following are adjacent angles in the below figure?
(i)
∠AOB , ∠BOC
(ii)
∠COD , ∠EOA
(iii)
∠BOC , ∠DOE
(iv)
∠DOE , ∠BOC
(v)
∠EOA , ∠BOC
Assignment Key
1) (ii)
2) (v)
3) (v)
4) (v)
5) (iii)
6) (v)
7) (iii)
8) (i)
9) (i)
10) (v)
11) (ii)
12) (i)
13) (iv)
14) (i)
15) (i)
16) (i)
17) (i)
18) (ii)
19) (v)
20) (v)
21) (iii)
22) (ii)
23) (iv)
24) (iv)
25) (i)
