The combined planning and zoning board shall have jurisdiction as to planning as set forth in 65 Illinois Compiled Statutes 5/11-12-4 through 5/11-12-12, and section 2-1-5 of this chapter; and shall have jurisdiction sitting as the zoning board of appeals as set forth in 65 Illinois Compiled Statutes 5/11-13-1 through 5/11-13-20, 5/11-14-1 through 5/11-14-4, 5/11-15-1 and 5/11-15.1-1 through 5/11-15.1-5, and title 10 of this code. (1976 Code §§ 34.016, 34.018)