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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade VI - Parallel Lines
Question
1
1.
In the adjoining figure,
HIJK
is a parallelogram and
LM
is such that
LM
∥
HJ
If
∠HKL = 31.67°
and
∠JKM = 36.06°
,
find the measure of
∠JKH
.
113.28°
114.28°
110.28°
111.28°
112.28°
Question
2
2.
In the following figure BC ∥ ED, find the values of x and y.
x
=
62°
,
y
=
62°
x
=
61°
,
y
=
61°
x
=
59°
,
y
=
59°
x
=
60°
,
y
=
60°
x
=
58°
,
y
=
58°
Question
3
3.
Find the vertically opposite angles in the given figure
∠1 , ∠8 ; ∠2 , ∠7
∠1 , ∠2 , ∠7 , ∠8
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question
4
4.
If l ∥ m, which of the given figures is correct?
IV
I
III
II
Question
5
5.
In the given figure, PQ ∥ RS, ∠HEQ = 57° and EF = GE. Find the measure of x.
x
=
68°
x
=
64°
x
=
66°
x
=
67°
x
=
65°
Question
6
6.
In which of the figures given bellow, l ∥ m?
III
II
I
IV
Question
7
7.
In the adjoining figure, side JG of parallelogram GHIJ has been produced to K. If ∠HGK = 138.6° , find the measure of each angle of the parallelogram.
G
=
40.4°
,
H
=
136.6°
,
I
=
42.4°
,
J
=
140.6°
G
=
39.4°
,
H
=
140.6°
,
I
=
40.4°
,
J
=
139.6°
G
=
42.4°
,
H
=
137.6°
,
I
=
43.4°
,
J
=
136.6°
G
=
43.4°
,
H
=
137.6°
,
I
=
39.4°
,
J
=
139.6°
G
=
41.4°
,
H
=
138.6°
,
I
=
41.4°
,
J
=
138.6°
Question
8
8.
In the given figure l ∥ m. Find the value of 'q'
12
13
11
14
16
Question
9
9.
Find the interior alternate angles in the given figure
∠1 , ∠2 , ∠7 , ∠8
∠3 , ∠4 , ∠5 , ∠6
∠1 , ∠8 ; ∠2 , ∠7
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
∠3 , ∠6 ; ∠4 , ∠5
Question
10
10.
Find the corresponding angles in the given figure
∠1 , ∠2 , ∠7 , ∠8
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
∠3 , ∠6 ; ∠4 , ∠5
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
∠3 , ∠4 , ∠5 , ∠6
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