In case of a protest against such amendment, supplement, change, modification, or repeal, duly signed and acknowledged by the owners of thirty percent (30%) or more, either of the land (exclusive of streets) included in such proposed change, or within an area determined by lines drawn parallel to and one hundred eighty-five (185) feet distant from the boundaries of the district proposed to be changed, such amendment shall not be passed except by the favorable vote of two-thirds (⅔) of the elected members of the Board of Aldermen.