Except as otherwise provided by § 11-4-24, the governing body shall provide for the appointment of a board of adjustment, or for the planning and zoning commission to act as a board of adjustment, and in the regulations and restrictions adopted pursuant to the authority of this chapter, shall provide that the board of adjustment may, in appropriate cases and subject to appropriate conditions and safeguards, grant variances to the terms of the ordinance.
SDCL 11-4-13