My boyfriend recently broke up with me and now he's acting bothered because I moved on why would he care if he's talking to other females?

Me and my ex live together he recently told me he just wanted to be friends after we got into a argument. This is his 10th time telling me this. usually when he tells me he just wants to be friends I get a little depressed and sad but this time i told him I'm fine with us just being roomates and friends. I responded to someone's dm on Instagram the day he broke up with me he started questioning me asking me what did the guy say to me and he told me he changed his mind and wants to be with me. I told him no the very next night he kept asking me to have sex with him i told him no. so he decided to ask me If I knew where his condoms were and said he was about to go have sex with someone else. He didn't Come back that night but the next day he told me he was just joking and slept in his car to make me think he was sleeping with someone else. i know he's lying i didn't really care I figured he was talking to other females anyway because he changed his phone password not to long ago and didn't want to give me the password we had an argument to have eachothers passwords

Now Everytime I post a picture on Instagram he says I'm doing it to get back at him and when he's home he ask me to cook for him and get mad when I tell him no he's still trying to have sex with me and constantly asking me for hugs and tells me he loves me If he's sleeping with other females and doesn't want to be with me why does he keep lying about wanting to be with me And act like he care when I'm talking to other guys?
My boyfriend recently broke up with me and now he's acting bothered because I moved on why would he care if he's talking to other females?
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