Riley Grabau added 12 points, Derek Cooke Jr. 11 and Alan Herndon 10 for the Cowboys (20-6, 9-4 Mountain West), who had lost back-to-back games for the first time this season. Leading scorer Larry Nance Jr. (16.3 ppg) missed his third straight game with mononucleosis.
Adams, who averages 11.1 points, had 15 in the first half and the Cowboys shot 56 percent to take a 39-29 lead. Muhammad had 17 of the Spartans' points.
Wyoming made 14 of 25 field goals in each half and made 14 of 19 free throws.