For good cause shown any member of the Board may be removed by the Mayor, by and with the consent of the governing body. Before any member shall be removed, charges in writing duly verified by oath shall be filed with the Clerk of the city and due notice thereof given to the member against whom such charges have been lodged, and the governing body shall have power to hear and determine such charges on sworn evidence and their finding shall be final unless within ten days from the date of the finding of the governing body, the member shall appeal to the District Court of Pottawatomie County.