Which branch of government was established based on the idea of consent of the governed?

The legislature is established based on the idea of consent of the governed because it directly represents the will and interests of the people. This concept stems from the belief that government authority is derived from the consent of those it governs, which is fundamental in a democratic system. The legislature, as the law-making body, is elected by the citizens and is accountable to them, ensuring that policies and laws reflect the collective will of the populace.

In contrast, the executive branch is responsible for enforcing laws and may not always directly reflect public consent in its decisions. The judiciary interprets laws and upholds justice, focusing on legal principles rather than popular consent. The bureaucracy implements government policies and regulations, usually functioning out of the public eye, which can lead to a disconnect from direct governance by the people. Thus, the legislature stands out as the branch most closely aligned with the principle of consent of the governed.