In case of an adverse report by the City Planning and Zoning Commission or if a protest against such proposed amendment, supplement, change, modification or repeal shall be presented in writing to the City Clerk, duly signed and acknowledged by the owners of thirty percent (30%) or more, either of the area of the land (exclusive of streets, places and alleys) included within such proposed amendment, supplement, change, modification or repeal 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, supplement, change, modification or repeal shall not become effective except by the favorable vote of two-thirds (⅔) of the members of the City Council.