A.   Upon appeal, the board is hereby empowered to permit the following exceptions:
      1.   To permit the extension of a district where the boundary line of a district divides a lot in single ownership as shown of record;
      2.   To interpret the provisions of the chapter where the street layout actually on the ground varies from the street layout as shown on the map fixing the several districts, which map is attached to and made a part of this chapter; and
      3.   To grant exceptions to the off street parking requirements set forth in the zoning ordinance, when it is determined that the size and shape of the lot to be built on is such that off street parking provisions could not be complied with, and that the proposed use will not create undue traffic congestion in the adjacent streets. (Prior code § 16-48)