Brogdon hit just 3-of-12 shots from the field but was perfect in seven trips to the foul line for the Cavaliers (19-5, 10-1 ACC).
Virginia shot 39.6 percent form the field, but Georgia Tech (12-12, 3-8) was an even-chillier 36.7 percent and was just 3-for-15 from the free-throw line. The Yellow Jackets scored 15 points in the second half and did not sink a field goal in the last 9:52 of the game.
Joe Harris and Anthony Gill both had 11 points for Virginia.
Chris Bolden scored 13 points and was the only Georgia Tech player to reach double figures.