Final answer:
People give legitimacy to a government policy they disagree with when they value the government's authority, a concept central to the social contract theory.
Step-by-step explanation:
When people feel that a policy is wrong, but accept it because they value the government that makes the policy, they are giving a kind of support known as "legitimacy." This concept is fundamental in the social contract theory, which suggests that citizens consent to be governed as long as the government protects their natural rights. Within a democratic society, this consent is granted on the understanding that the government will work for the common good, even when individual policies might not align with every citizen's personal beliefs. Individuals may also perceive that certain sacrifices, including accepting policies they disagree with, are necessary to maintain order and security within their society. This perception is often challenged and evolves as the social and political context changes over time.