Playfair's Axiom says, "Given a line and a point not on that line, there exists only one line through the given point parallel to the given line." This is the modern version of the Parallel Postulate. Why is this a postulate instead of a theorem?
It is true by definition.
Despite many people's best efforts, it can't be proven from other postulates.
It is a logically self-evident truth.
There is no geometric system in which it isn't true.

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