EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In a right-angled triangle if one of the acute angles is 46°, find the measure of the other acute angle.
(i)
46°
(ii)
45°
(iii)
42°
(iv)
44°
(v)
43°
Question
2
2.
In the given figure, △CDE in which ∠D = 53.32° and ∠E = 51.84°. CF and DE bisects each other. Find the value of z
(i)
z
=
76.84°
(ii)
z
=
72.84°
(iii)
z
=
74.84°
(iv)
z
=
75.84°
(v)
z
=
73.84°
Question
3
3.
Which of the given figures is wrong?
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
4
4.
The following lines represent
(i)
coplanar lines
(ii)
concurrent lines
(iii)
parallel lines
(iv)
perpendicular lines
(v)
intersecting lines
Question
5
5.
Which of the following points are collinear?
a)
H
,
I
,
F
b)
E
,
I
,
G
c)
G
,
I
,
H
d)
F
,
I
,
G
e)
I
,
H
,
G
(i)
{c,a}
(ii)
{a,b}
(iii)
{d,b}
(iv)
{d,b,a}
(v)
{e,c,a}
Question
6
6.
Calculate the value of the lettered angle in the following figure
(i)
x
=
55.1°
(ii)
x
=
54.1°
(iii)
x
=
53.1°
(iv)
x
=
56.1°
(v)
x
=
52.1°
Question
7
7.
Multiple lines drawn on a plane are called
(i)
perpendicular lines
(ii)
concurrent lines
(iii)
parallel lines
(iv)
coplanar lines
(v)
intersecting lines
Question
8
8.
Find the unknown angle from the following figure
(i)
x
=
53.79°
(ii)
x
=
50.79°
(iii)
x
=
49.79°
(iv)
x
=
51.79°
(v)
x
=
52.79°
Question
9
9.
Which of the following is a straight angle?
(i)
0°
(ii)
145°
(iii)
88°
(iv)
180°
(v)
90°
Question
10
10.
In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (2a)° , ∠CDB = (2a)° and ∠BDE = (7a)°, find the values of a and x.
(i)
a
=
19°
,
x
=
99°
(ii)
a
=
18°
,
x
=
98°
(iii)
a
=
20°
,
x
=
100°
(iv)
a
=
21°
,
x
=
101°
(v)
a
=
22°
,
x
=
102°
Question
11
11.
Which of the following are true?
a)
If two lines are parallel to the same line, then they are perpendicular to each other
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
If
x
⟂
y
and
y
⟂
z
, then
x
⟂
z
d)
If
x
∥
y
and
y
∥
z
, then
x
∥
z
e)
If
x
⟂
y
and
x
⟂
z
, then
y
⟂
z
(i)
{b,d}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{c,d,b}
(v)
{e,a,b}
Question
12
12.
The following angle represents
(i)
acute angle
(ii)
reflex angle
(iii)
right angle
(iv)
zero angle
(v)
straight angle
Question
13
13.
Find the value of 'k' in the following figure
(i)
51°
(ii)
81°
(iii)
61°
(iv)
56°
(v)
66°
Question
14
14.
In the given figure l ∥ m. Find the value of 's'
(i)
9
(ii)
11
(iii)
13
(iv)
10
(v)
8
Question
15
15.
In the given figure, it is given that KJ ∥ ML , ∠KML = 72° and ∠KJI = 78°. Find the value of x.
(i)
x
=
32°
(ii)
x
=
28°
(iii)
x
=
31°
(iv)
x
=
30°
(v)
x
=
29°
Question
16
16.
Identify the figure below
(i)
quadrilateral
(ii)
line
(iii)
circle
(iv)
decagon
(v)
angle
Question
17
17.
In the given figure , if JG ⟂ HI and ∠GHJ = 52°, find ∠JIG
(i)
65.88°
(ii)
62.88°
(iii)
64.88°
(iv)
66.88°
(v)
63.88°
Question
18
18.
In the given figure l ∥ m. Find the value of 'y'
(i)
44
(ii)
43
(iii)
47
(iv)
45
(v)
46
Question
19
19.
In below given figure, find ∠ADC
(i)
128.75°
(ii)
127.75°
(iii)
124.75°
(iv)
125.75°
(v)
126.75°
Question
20
20.
Which of the following is an obtuse angle?
(i)
151°
(ii)
360°
(iii)
90°
(iv)
180°
(v)
20°
Question
21
21.
Which of the following angles form a linear pair?
(i)
(∠BOC,∠COD)
(ii)
(∠COD,∠DOE)
(iii)
(∠AOB,∠BOC)
(iv)
(∠DOE,∠EOA)
Question
22
22.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
(i)
x
=
19°
,
y
=
84°
(ii)
x
=
21°
,
y
=
86°
(iii)
x
=
18°
,
y
=
83°
(iv)
x
=
20°
,
y
=
85°
(v)
x
=
22°
,
y
=
87°
Question
23
23.
Find the angles of the triangle
(i)
H
=
40°
,
I
=
55°
,
J
=
85°
(ii)
H
=
40°
,
I
=
53°
,
J
=
87°
(iii)
H
=
38°
,
I
=
57°
,
J
=
85°
(iv)
H
=
38°
,
I
=
55°
,
J
=
87°
(v)
H
=
42°
,
I
=
55°
,
J
=
83°
Question
24
24.
A line that intersects two lines at two different points is called
(i)
parallel lines
(ii)
concurrent lines
(iii)
transversal
(iv)
coplanar lines
(v)
perpendicular lines
Question
25
25.
In the given figure,
△GHI
is a triangle in which
∠G
=
∠H
=
∠I
.
This bisectors of
∠H
and
∠I
intersect at
J
.
Find
∠J
=
(i)
118°
(ii)
121°
(iii)
122°
(iv)
119°
(v)
120°
Assignment Key
1) (iv)
2) (iii)
3) (i)
4) (v)
5) (ii)
6) (ii)
7) (iv)
8) (iv)
9) (iv)
10) (iii)
11) (i)
12) (iii)
13) (i)
14) (iv)
15) (iv)
16) (ii)
17) (iii)
18) (iv)
19) (v)
20) (i)
21) (ii)
22) (iv)
23) (i)
24) (iii)
25) (v)
