Final answer:
The Roman Catholic teachings affirmed at the Council of Trent that Martin Luther challenged were (b) The authority of the Pope and (c) The existence of Purgatory.
Step-by-step explanation:
The Roman Catholic teachings affirmed at the Council of Trent that Martin Luther challenged include (b) The authority of the Pope and (c) The existence of Purgatory.
At the Council of Trent, the Catholic Church affirmed the authority of the Pope, rejecting Luther's challenge to papal supremacy. They also affirmed the existence of Purgatory, which Luther disputed, and upheld the Doctrine of Merit rejecting Luther's belief in salvation through faith alone.