Final answer:
The Whig philosophy of government supported republicanism by aiming to limit the King's powers and promote more democratic governance.
Step-by-step explanation:
The Whig philosophy of government supported republicanism by aiming to limit the King's powers and promote more democratic governance. This is represented by the fact that the Whigs favored limiting the King's powers and pushing for broadening popular participation in political life, which aligns with the principles of republicanism. Their goal was to establish a government where power was distributed among the people, rather than concentrated in the hands of a monarch or an aristocracy.