The loss ended an 11-game winning streak for Georgetown (13-2, 3-1 Big East), who shot 40.4 percent from the field and was only 2-of-14 from 3-point range.
Truck Bryant scored 25 points and Kevin Jones had 22 points and 16 rebounds for the Mountaineers (12-4, 3-1).
The Mountaineers led 29-27 at halftime and iced the game with eight consecutive free throws in the final minute of regulation.
'SNL': 'Anchorman 2' cast, One Direction sing 'Afternoon Delight' [VIDEO]
Reindeer recovered after escaping from Santa during lighting ceremony