How does a
presidential democracy differ from a
constitutional monarchy

Presidential Democracies have their power being held by the People, while Constitutional Monarchies usually incorporate power by sharing it with accordance to the People.

Explanation: The United States is considered a Presidential Democracy. Unlike the United Kingdom, it doesn't have a Head of a Certain Family representing the Government or the State. The United Kingdom does, with it's royal family, the House of Windsor, which presents it as a Constitutional Monarchy as it doesn't give up it's power with the populace.

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