Show, who joins Boavista in Portugal, opened the scoring on 63 minutes, and Loide, six minutes later, confirmed the national team's victory.
The 'Palancas Negras', who were no longer able to qualify for CAN2021, in Cameroon, achieved their first victory in the group, now adding four points in six games.
The Gambia and Gabon, with 10 points, qualified for CAN2021, with the Democratic Republic of Congo finishing with nine points and Angola with four.
The 2021 edition of CAN was postponed until next year in Cameroon, running from 15 January to 28 February 2022.