Devin McGlockton and Makai Ashton-Langford added 12 points each for the Eagles (4-2).
Boston College held Wyoming to two points over a key six-minute stretch of the second half, turning a one-point lead into a 46-37 advantage. McGlockton hit a 3-pointer and a layup in a 7-0 run that put the Eagles up 55-39 with 3:35 to go.
Wyoming (3-3), which was led by 11 points from Ethan Anderson, took fifth place.
Wyoming led only once in the first half - at 10-9 - and suffered through four-minute and three-minute scoreless droughts. Boston College led 26-21 at halftime.
Wyoming scored the first six points of the second half to take a 27-26 lead. The Cowboys last held the lead at 35-34 when Hunter Thompson hit a jumper with 13:28 remaining.
Although both teams shot better than 40% overall, Wyoming made only 5 of 18 3-pointers (27.8%) and Boston College hit just 3 of 13 (23.1%).
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