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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, side
B
C
BC
B
C
is produced to point
D
D
D
such that
∠
D
B
C
=
∠
A
B
C
\angle DBC = \angle ABC
∠
D
B
C
=
∠
A
B
C
and
∠
B
D
C
=
∠
A
C
B
\angle BDC = \angle ACB
∠
B
D
C
=
∠
A
C
B
. Prove that
△
A
B
C
≅
△
D
B
C
\triangle ABC \cong \triangle DBC
△
A
B
C
≅
△
D
B
C
.
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