Question

Answer Please...........

Answer 1

We can prove it using Basic Proportionality Theorem

By BPT , 

AX /AB = CY/ CB

AB = BC is given

AX /AB = AX / BC

So, AX/ BC = CY / CB

So, AX =CY

Answer 2

if equal are subtracted from equal the whole is equal.
AB=BC
BX +AX =BY + CY
BY and AX CUT BECAUSE THEY ARE EQUAL.
SO,HENCE
AX =CY
SO HENCE PROVED