The board of supervisors, by resolution, may relinquish to the city a county highway or any portion thereof located within the city. A certified copy of such resolution shall be filed with the city council. A certified copy of such resolution shall also be recorded in the office of the county recorder, and upon recordation, all right, title and interest of the county in and to such portion of a county highway shall vest in the city, and such highway or portion thereof shall thereupon constitute a city street.