Paige struck for 31 of his total in the second half and overtime, including a go-ahead lay-in with less than a second to go in the extra frame.
He drained seven 3-pointers and provided six rebounds and five assists for the Tar Heels (21-7, 11-4 ACC), who reeled off a 10th straight win.
J.P. Tokoto helped out with 16 points and 10 rebounds.
T.J. Warren fired in a career-best 36 points, but it wasn't enough for the Wolfpack (17-11, 7-8).
Swim Week Miami Beach 2014 [PHOTOS]