(A) After the operator of a vehicle has stopped at the entrance to a through street, such operator shall yield the right of way to other vehicles which have entered the intersection from said through street or which are approaching so closely on such through street as to constitute an immediate hazard, but said operator having so yielded may proceed and the operator of all other vehicles approaching the intersection on said through street shall yield the right of way to the vehicles so proceeding into or across the through street.
(B) After the operator of a vehicle has stopped in obedience to a stop sign at an intersection where a stop sign has been erected at one or more entrances thereto although not part of a through street, such operator shall proceed cautiously, yielding to vehicles not so obliged to stop which are within the intersection or approaching so closely as to constitute an immediate hazard, but may then proceed. (1956 Code, Sec. 14-35)