Pursuant to § 7-712 of the Village Law of the State of New York, a Zoning Board of Appeals consisting of five members shall be established by resolution of the Village of Brewster Board of Trustees. After the initial appointments of one, two, three, four and five years, the terms of the members shall be for five years. Any vacancies shall be filled for the unexpired term. The Mayor shall appoint the Board of Appeals and the Chairperson thereof, subject to the approval of the Board of Trustees. The term of the Chairperson shall be one official year, and shall be appointed each year at the organizational meeting of the Board of Trustees. In the absence of a Chairperson, the Zoning Board of Appeals may designate a member to serve as Acting Chairperson.