The state Board of Education has approved flexibility for Georgia’s school districts, paving the way for systems to furlough teachers and other employees. The board voted Tuesday morning to allow districts to fall short of the number of days the state requires educators to work each year. Gov. Sonny Perdue called last week for the state’s 128,000 public school teachers to take three unpaid furlough days by the end of the calendar year. The school districts are not required to enact the furloughs, but the state is cutting the sum of those days’ salaries from the districts’ funding. Most of the state’s 180 school districts are expected to go along with the furloughs.