Platnium Angel vs. Pact

[APriestOfGix]

This have never come up yet, but what happens if you have two effects that would keep you from losing the game (Plat Angel) and one that loses the game (Un-Paid Pact, or many others) at the same time.

If i have Plat in play and i don't pay a Pact what happens?

[FakeSpam]

You would lose. But you can't. Continue.

[Slay]

The can't will always win in Magic. I'd quote the Comprehensive rules, but I'm way too lazy.
-Slay