Does the patch work on the last day?

Kitten

Last Thursday morning (Last day of my patch before i get off for my period) my boyfriend and i had sex for the first time since I got on the patch. The condom broke and I was sick to my stomach Friday and Saturday morning about what if i got pregnant. I decided to tell a close friend of mine who went and got me a plan b, i took it that Saturday night.

I’ve only been on the patch for two months, the period after the first month came maybe 3 days after i took it off.