Smith was 9 of 15 from the floor, hitting three from distance. Francis Alonso added 20 points as he was 4 of 11 from long range.
Western Carolina broke a 24-24 halftime tie to take an early second-half lead before Alonso drilled a 3-pointer to go ahead 27-26. The Spartans (12-5, 3-1) never trailed again.
The Catamounts closed to 44-41 at the 11:30 mark but Alonso and Kyrin Galloway drilled two straight 3-pointers to stretch the lead to 50-41.
UNC Greensboro was 26 of 53 (49 percent) from the floor while limiting the Catamounts to 15-of-38 shooting (40 percent). The Spartans won the rebound battle 36-19.
Mike Amius had 19 points for Western Carolina (7-10, 3-2). Deriece Parks added 12 points.
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