Can you help me with this geometry proof?

Question

We have to prove that these two triangles are congruent.

Here's the diagram:

http://i9.tinypic.com/4z9ctx2.jpg

In the link give is meant to say Given.

Here's the correct link for the diagram. Again give is meant to say Given.


http://i9.tinypic.com/6bt0vft.jpg

Answer 1

Triangle BDE is isosceles
BD = BE
AC = CE.................GIVEN
AB = BC..................Sums of equals are equal
triangle ABE is congruent to triangle BCD.........SAS

Answer 2

as angle1=angle2 it means that DB=BE. angle B belongs both. as AD=Ec and DB=BE it means that AB=BC. angle BDC=angle AEB, because in front of eaqual sides are equal angles. if to angle are equal it means that the third ones are equal too. as these triangles has 3 angles equal it means that Triangle:ABE=Triangle:BCD what u had to proof.