EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Parallel Lines
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
2
2.
Find the vertically opposite angles in the given figure
(i)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠3 , ∠5 ; ∠4 , ∠6
(iv)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
3
3.
Find the interior angles in the given figure
(i)
∠3 , ∠6 ; ∠4 , ∠5
(ii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
4
4.
In the adjoining figure, side LI of parallelogram IJKL has been produced to M. If ∠KLM = 100.97° , find the measure of each angle of the parallelogram.
(i)
I
=
99.97°
,
J
=
77.03°
,
K
=
101.97°
,
L
=
81.03°
(ii)
I
=
100.97°
,
J
=
79.03°
,
K
=
100.97°
,
L
=
79.03°
(iii)
I
=
101.97°
,
J
=
78.03°
,
K
=
102.97°
,
L
=
77.03°
(iv)
I
=
98.97°
,
J
=
81.03°
,
K
=
99.97°
,
L
=
80.03°
(v)
I
=
102.97°
,
J
=
78.03°
,
K
=
98.97°
,
L
=
80.03°
Question
5
5.
Find the exterior alternate 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 , ∠8 ; ∠2 , ∠7
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
6
6.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{e,f,g,h,i,j}
(i)
52
°
,
62
°
,
66
°
,
66
°
,
62
°
,
52
°
(ii)
66
°
,
66
°
,
62
°
,
52
°
,
52
°
,
62
°
(iii)
62
°
,
62
°
,
52
°
,
52
°
,
66
°
,
66
°
(iv)
62
°
,
52
°
,
66
°
,
62
°
,
52
°
,
66
°
(v)
62
°
,
52
°
,
62
°
,
52
°
,
66
°
,
66
°
Question
7
7.
If l ∥ m, which of the given figures is correct?
(i)
II
(ii)
III
(iii)
IV
(iv)
I
Question
8
8.
In the given figure l ∥ m. Find the value of 'v'
(i)
14
(ii)
17
(iii)
15
(iv)
12
(v)
16
Question
9
9.
Which of the given figures is correct?
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
10
10.
In which of the figures given bellow, l ∦ m(not parallel)?
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
11
11.
Which of the given figures is wrong?
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
12
12.
In the given figure, it is given that CB ∥ ED , ∠CED = 59° and ∠CBA = 93°. Find the value of x.
(i)
x
=
26°
(ii)
x
=
29°
(iii)
x
=
28°
(iv)
x
=
27°
(v)
x
=
30°
Question
13
13.
In the given figure l ∥ m. Find the value of 's'
(i)
10
(ii)
9
(iii)
11
(iv)
13
(v)
7
Question
14
14.
In the adjoining figure,
MNOP
is a parallelogram and
QR
is such that
QR
∥
MO
If
∠MPQ = 33.48°
and
∠OPR = 31.65°
,
find the measure of
∠OPM
.
(i)
112.86°
(ii)
115.86°
(iii)
116.86°
(iv)
113.86°
(v)
114.86°
Question
15
15.
Find the co-interior angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
16
16.
Find the value of 'q'
(i)
63°
(ii)
43°
(iii)
38°
(iv)
33°
(v)
48°
Question
17
17.
Which of the following are true for corresponding angles?
a)
Both are interior angles
b)
One is interior angle and the other is exterior angle
c)
They are adjacent angles
d)
They are on the same side of the transversal
e)
They are not adjacent angles
f)
They are on either side of the transversal
(i)
{f,a,e}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{c,b,d}
(v)
{b,d,e}
Question
18
18.
Which of the following are true?
a)
If
i
⟂
j
and
i
⟂
k
, then
j
⟂
k
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
If
i
⟂
j
and
j
⟂
k
, then
i
⟂
k
d)
If
i
∥
j
and
j
∥
k
, then
i
∥
k
e)
If two lines are parallel to the same line, then they are perpendicular to each other
(i)
{b,d}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{e,a,b}
(v)
{c,d,b}
Question
19
19.
In the given figure, AB ∥ CD and AC = CE. Find the values of x,y and z.
(i)
x
=
30°
,
y
=
62°
,
z
=
54°
(ii)
x
=
28°
,
y
=
66°
,
z
=
52°
(iii)
x
=
30°
,
y
=
64°
,
z
=
52°
(iv)
x
=
28°
,
y
=
64°
,
z
=
54°
(v)
x
=
32°
,
y
=
64°
,
z
=
50°
Question
20
20.
In the given figure l ∥ m. Find the value of 'v'
(i)
74°
(ii)
54°
(iii)
59°
(iv)
44°
(v)
49°
Question
21
21.
In the given figure l ∥ m. Find the value of 'u'
(i)
39
(ii)
35
(iii)
36
(iv)
33
(v)
37
Question
22
22.
Which of the following are true with respect to lines j , k , l , m where j ∥ k , k ⟂ l , l ⟂ m?
a)
j
∥
l
b)
j
∥
m
c)
l
∥
m
d)
k
∥
m
e)
j
⟂
m
(i)
{e,a,b}
(ii)
{c,d}
(iii)
{c,d,b}
(iv)
{a,b}
(v)
{b,d}
Question
23
23.
Find the adjacent angles in the given figure
(i)
∠3 , ∠5 ; ∠4 , ∠6
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠2 , ∠7 , ∠8
Question
24
24.
In the given figure l ∥ m. Find the value of 'w'
(i)
15
(ii)
14
(iii)
16
(iv)
18
(v)
12
Question
25
25.
In the given figure, PQ ∥ RS, ∠FCQ = 59° and CD = EC. Find the measure of x.
(i)
x
=
62°
(ii)
x
=
63°
(iii)
x
=
60°
(iv)
x
=
61°
(v)
x
=
64°
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (ii)
5) (iii)
6) (iv)
7) (iii)
8) (iii)
9) (iii)
10) (iii)
11) (iii)
12) (iii)
13) (i)
14) (v)
15) (v)
16) (iv)
17) (v)
18) (i)
19) (iii)
20) (iv)
21) (iii)
22) (v)
23) (iii)
24) (i)
25) (i)
