Data Sufficiency (DS) | Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.

1- This tells us that BD is perpendicular to AC but doesn't mention whether AD=DC.(Insufficient)
2-AB=BC which tells us that. (insufficient)
combining both we find that BD is the perpendicular bisector which means that x=y.
Ans- C

---