I was hit by another car while making left turn, I had to byp incoming traffic lanes to turn onto 1 way St.

Light was green, I saw it was safe to make a turn, initiated the turning maneuver and had already turned onto the 1 way Street when out of no where this car hit my bumper on the right side and took the bumper completely off. He had only right front damage. He claims I drove in front of him and I say he had to be speeding. If I drove in front of him wouldn't he had hit me with the full front of his car?