EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In a right angled triangle, if one of the angles is 40.91°, find the third angle
(i)
64.09°
(ii)
54.09°
(iii)
79.09°
(iv)
49.09°
(v)
59.09°
Question
2
2.
In the following figure FG ∥ IH, find the values of x and y.
(i)
x
=
31°
,
y
=
121°
(ii)
x
=
29°
,
y
=
119°
(iii)
x
=
30°
,
y
=
120°
(iv)
x
=
28°
,
y
=
118°
(v)
x
=
32°
,
y
=
122°
Question
3
3.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠2 , ∠7 , ∠8
(ii)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠3 , ∠5 ; ∠4 , ∠6
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠3 , ∠6 ; ∠4 , ∠5
Question
4
4.
The following angle represents
(i)
zero angle
(ii)
right angle
(iii)
reflex angle
(iv)
obtuse angle
(v)
complete angle
Question
5
5.
Which of the following are true for alternate angles?
a)
They are in the same side of the transversal
b)
They are on either side of the transversal
c)
They are adjacent angles
d)
One is interior angle and the other is exterior
e)
They are not adjacent angles
f)
Both are interior angles
(i)
{a,b}
(ii)
{b,e,f}
(iii)
{c,e}
(iv)
{d,a,f}
(v)
{c,b,e}
Question
6
6.
Identify the figure below
(i)
hexagon
(ii)
octagon
(iii)
heptagon
(iv)
angle
(v)
pentagon
Question
7
7.
In the given figure, ∠D = 62.79° and ∠E = 61.44°.
Side EF is produced to G, so that ∠EFD and ∠DFG form a linear pair.
If
⟶
FH
and
⟶
FI
are the bisectors of
∠EFD
and
∠DFG
, find x and y.
(i)
x
=
28.89°
,
y
=
63.11°
(ii)
x
=
26.89°
,
y
=
61.11°
(iii)
x
=
27.89°
,
y
=
62.11°
(iv)
x
=
29.89°
,
y
=
64.11°
(v)
x
=
25.89°
,
y
=
60.11°
Question
8
8.
In the given figure, calculate the value of x.
(i)
x
=
25°
(ii)
x
=
23°
(iii)
x
=
22°
(iv)
x
=
24°
(v)
x
=
21°
Question
9
9.
The following angle represents
(i)
acute angle
(ii)
obtuse angle
(iii)
straight angle
(iv)
zero angle
(v)
right angle
Question
10
10.
The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle
(i)
A
=
50°
,
B
=
63°
,
C
=
67°
(ii)
A
=
48°
,
B
=
67°
,
C
=
65°
(iii)
A
=
52°
,
B
=
65°
,
C
=
63°
(iv)
A
=
50°
,
B
=
65°
,
C
=
65°
(v)
A
=
48°
,
B
=
65°
,
C
=
67°
Question
11
11.
Where will the hour hand of a clock stop, if it starts from 9 and turns through 3 right angles?
(i)
4
(ii)
7
(iii)
5
(iv)
6
(v)
8
Question
12
12.
Which of the following is the largest angle in the given figure?
(i)
∠KOM
(ii)
∠KOL
(iii)
∠LON
(iv)
∠LOM
(v)
∠KON
Question
13
13.
One of the two equal angles of an isosceles triangle measures 47°. Find the measure of each angle of the triangle.
(i)
A
=
47°
,
B
=
45°
,
C
=
88°
(ii)
A
=
49°
,
B
=
47°
,
C
=
84°
(iii)
A
=
47°
,
B
=
47°
,
C
=
86°
(iv)
A
=
45°
,
B
=
47°
,
C
=
88°
(v)
A
=
45°
,
B
=
49°
,
C
=
86°
Question
14
14.
The name of the given angle is
(i)
∠CDO
(ii)
∠COD
(iii)
∠DCO
(iv)
△COD
(v)
∠CD
Question
15
15.
State the angle between the two hands of the clock when the time is 6 A.M.
(i)
190°
(ii)
210°
(iii)
195°
(iv)
180°
(v)
185°
Question
16
16.
In the given figure, find the value of x.
(i)
x
=
20.5°
(ii)
x
=
23.5°
(iii)
x
=
22.5°
(iv)
x
=
24.5°
(v)
x
=
21.5°
Question
17
17.
In the given figure l ∥ m. Find the value of 'x'
(i)
45°
(ii)
70°
(iii)
55°
(iv)
40°
(v)
50°
Question
18
18.
Which of the following is a right angle?
(i)
280°
(ii)
90°
(iii)
0°
(iv)
180°
(v)
147°
Question
19
19.
In which of the figures given bellow, l ∥ m?
(i)
I
(ii)
III
(iii)
II
(iv)
IV
Question
20
20.
Find the unknown marked angles in the following figure
(i)
x
=
111°
,
y
=
41°
(ii)
x
=
109°
,
y
=
39°
(iii)
x
=
108°
,
y
=
38°
(iv)
x
=
112°
,
y
=
42°
(v)
x
=
110°
,
y
=
40°
Question
21
21.
In a right angled triangle, if one of the angles is 52.43°, find the third angle
(i)
42.57°
(ii)
47.57°
(iii)
52.57°
(iv)
67.57°
(v)
37.57°
Question
22
22.
Which of the following are adjacent angles in the below figure?
(i)
∠GOH , ∠HOI
(ii)
∠JOK , ∠HOI
(iii)
∠KOG , ∠HOI
(iv)
∠IOJ , ∠KOG
(v)
∠HOI , ∠JOK
Question
23
23.
The following angle represents
(i)
obtuse angle
(ii)
reflex angle
(iii)
zero angle
(iv)
straight angle
(v)
right angle
Question
24
24.
A line that intersects two lines at two different points is called
(i)
transversal
(ii)
parallel lines
(iii)
perpendicular lines
(iv)
concurrent lines
(v)
coplanar lines
Question
25
25.
Find the value of x in the given figure.
(i)
x
=
23°
(ii)
x
=
22°
(iii)
x
=
19°
(iv)
x
=
20°
(v)
x
=
21°
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (iii)
5) (ii)
6) (iv)
7) (iii)
8) (ii)
9) (iv)
10) (iv)
11) (iv)
12) (v)
13) (iii)
14) (ii)
15) (iv)
16) (iii)
17) (iv)
18) (ii)
19) (ii)
20) (v)
21) (v)
22) (i)
23) (ii)
24) (i)
25) (v)