Final answer:
The priests and the Sadducees arrested Peter and John for preaching about Jesus and performing miracles in his name, which threatened their authority and power.
Step-by-step explanation:
The priests and the Sadducees were annoyed and arrested Peter and John because they were preaching about Jesus and performing miracles in his name. This threatened the authority of the priests and the Sadducees, who were the religious leaders of the time. They saw Peter and John as a threat to their power and influence, so they arrested them to try to stop their teachings.