Answer:
False
Step-by-step explanation:
Legitimacy and authority are sometimes considered same in political science, and are similar too.
Legitimacy refers of being legal in nature. The government can make laws because it has the right and the power.
Authority in political science means that the party has got the right to exercise power, accordingly it means right to legitimacy.
Now both go hands in hands.
Therefore, when the government makes a law and enforces the decision even without the public support then this make it clear that the government is exercising legitimacy along with authority, and not without authority.