Boggs scored nine points in a 14-4 run for the Catamounts (9-15, 6-6) at the start of the second half that gave them a 48-38 lead with 13:21 remaining.
The Catamounts ended a four-game losing streak, which included a 72-66 home loss to Georgia Southern on Jan. 26.
Western Carolina shot 52.7 percent (29 of 55) in Saturday's game to 36 percent (18 of 50) for the Eagles (10-15, 4-8), whose 54.9 percent shooting in the first meeting was the best by a Catamounts opponent this season.
NCAA title game hero Kris Jenkins said he will withdraw his name from the NBA draft and return to Villanova for his senior season.
Andy Katz breaks down the likelihood of Villanova, Syracuse, North Carolina or Oklahoma making a run to the Final Four next season.
Florida State has announced that Xavier Rathan-Mayes will return to the court for his junior season. The 6-foot-4 guard declared for the NBA draft last month but did not hire an agent.