Final answer:
The English rulers who had Parliament pass legislation known as the Acts of Supremacy, making the monarch the head of the Church of England, were Henry VIII and Elizabeth I.
Step-by-step explanation:
The Acts of Supremacy were critical pieces of legislation that affirmed the English monarch's role as the head of the Church of England. These acts were passed during the reigns of two specific monarchs. The first Act of Supremacy was passed in 1534 under Henry VIII, establishing him as the Supreme Head of the Church of England, severing ties with the Roman Catholic Church. Later, when Elizabeth I succeeded Mary I, she reinstated her father's religious reforms through the Act of Supremacy of 1559, thus re-establishing the monarch's supremacy over the English church. These moves were significant for Protestantism in England and reflected broader religious and political changes of the time.