No vehicle shall be parked with the left side of such vehicle next to the curb or the edge of the roadway, except on one- way streets, and it shall be unlawful to stand or park any vehicle in a street other than parallel with the curb and with the two (2) right wheels of the vehicle within twelve inches (12") of the regularly established curb line, except that upon those streets that have been marked for angle parking, vehicles shall be parked at the angle to the curb indicated by such marks. (M.C. 1963, § 20.502.)