Despite their surface similarity, these words are completely unrelated.

The English word is a noun and a verb, and describes how to get out of a place, to leave it.

There must be an Exit sign over every door that leads to the street, in case of emergencies.
After reciting her monologue, Marie bowed before the cheering audience and exited the stage.

The Spanish word is translated as success.  The verb is succeed.

But now you’re thinking that success looks a lot like suceso.  Again, no relation.  Click here for more: <link to entry on success/suceso>

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