If you discover that your partner (wife / husband), have Relationship with someone else ...How will your reaction be?
Shit happens.
Deal with it and move on. If a relationship isn't working for one, then it isn't working for either. I don't own my wife and we currently choose to be monogamous. But that could change. What she does in her own time is her business.
Since I'm poly, we'd have already discussed it, I'd gave already met my partner's interest & we'd all 3 have sat down in advance of their encounter to review the base rules.
If this were a case of him sneaking, lying, cheating, & disrespecting out relationship & committed agreements, I'm done. Pack my stuff & go. No point in staying.