Angleton is a city in and the county seat[4] of Brazoria County, Texas, United States, within the Houston–The Woodlands–Sugar Land metropolitan area. Angleton lies at the intersection of State Highway 288, State Highway 35, and the Union Pacific Railroad. The population was 18,862 at the 2010 census. Angleton is in the 14th congressional district,[5] and is represented by Republican Congressman Randy Weber.