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.
Jessica Simpson shares three-way kiss with friends in photo
Senate Democrats to pull all-nighter on climate change