Let's say I've somehow managed to get two or more [Exquisite Archangel](https://gatherer.wizards.com/Pages/Card/Details.aspx?name=Exquisite%20Archangel)s out onto the battlefield:

[![Exquisite Archangel](https://i.stack.imgur.com/N75oe.png)](https://i.stack.imgur.com/N75oe.png)
[![A second Exquisite Archangel](https://i.stack.imgur.com/N75oe.png)](https://i.stack.imgur.com/N75oe.png)

Something causes me to lose. Let's say it's just regular creature damage, and my life will reset just fine with no shenanigans.

What happens? Do all Archangels get exiled at once, or do I exile *just one* and have one more chance left for each extra Archangel beyond that one?