Answer:
The triangles are not congruent.
Explanation:
The triangle ABD is an equilateral triangle, then all their sides are equal and all the angles are equal to 60º. Then x=60º and y=30º (because the sum of the internal angles of a triangle have to be 180º)
Then we can conclude that the triangles are not congruent because they share two sides, but does no have any angle in common, as we can see in the next list of the angles.
angle ADB= angle ABD= angle DAB=60º
angle BDC=30º
angle DCB=30º
angle CBD=120º