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Mathematics
Mathematics
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, diagonal
B
D
BD
B
D
is drawn. It is given that
∠
A
B
D
=
∠
C
D
B
\angle ABD = \angle CDB
∠
A
B
D
=
∠
C
D
B
and
A
B
=
C
D
AB = CD
A
B
=
C
D
. Prove that
A
B
C
D
ABCD
A
B
C
D
is a parallelogram.
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