Where: ∠ BOE+∠ AOE = ∠ AOB = 90.
∠BOF+∠BOE=∠FOE=90
∴∠BOF=∠AOE
≈OAE =∠OBF = 45° OA = OB。
∴△BOF≌△AOE
I won't write it later. Sometimes the difference between computer and handwriting is so big that I'm really not used to it.