Ongwae was 9 of 15 from the field to help Louisiana-Monroe (3-3) shoot 55.6 percent. The Warhawks held Louisiana College to 32.8 percent.
Anthony Gaines Jr. was 8 of 18 from the field and finished with 20 points, seven rebounds and three blocks for Louisiana College.
Monroe went on an 8-0 run to take a 26-10 lead and pushed it to 43-23 at halftime.
Louisiana College got as close as 62-48, but Ongwae scored the next six Monroe points to start a 12-3 run.