I would look at the formula for your state. I would then speak to a lawyer about it. For one thing, would you need to work two jobs if you were getting a proper amount for child support?
Questions: Does he pay her health insurance? Does he pay for all or at least half of her dental and medical bills? Did he help pay for her braces? Does he pay half of anything else that your daughter needs? Your child support payment doesn't cover 1/3 of what you need for your daughter. Let's not forget driver's ed will be coming up and that means car insurance. College is around the bend too. Sports activities require uniforms, etc.
I would do a spreadsheet laying out what expenditures you are paying for and have it ready to present to a lawyer.
I wouldn't believe a thing he's telling you. Of course, he's going to say what he did because he's hoping that you'll back down. Do not back down.
In my state, my cousin has 3 kids. The wife had an affair and they are divorced. He pays her child support, but he pays in full all dental and medical bills, carries them on his health insurance, paid for their driver's ed and insurance. He has paid more than his fair share and his exw pays for nothing except for when the kids come and stay with her. She got off easy.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.