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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In Fig.8.2, ...
Question
In Fig.8.2,
A
B
C
D
and
A
E
F
G
are two parallelograms. If
∠
C
=
55
o
, determine
∠
F
.
A
27.5
o
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B
45
o
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C
55
o
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D
65
o
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Solution
The correct option is
B
55
o
A
B
C
D
and
A
E
F
G
are two parallelograms sharing two sides
A
D
(or
A
G
) and
A
E
(or
A
E
) and the included angle.
∠
C
=
55
o
.
To find out-
∠
F
Solution-
We have
∠
F
=
∠
A
......(opposite angles of a parallelogram).........(i)
Again
∠
A
=
∠
C
......(opposite angles of a parallelogram)...........(ii)
∴
∠
F
=
∠
C
......[From (i) and (ii)]
And
∠
C
=
55
o
.......(given)
⇒
∠
F
=
55
o
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