20 points can someone explain what i did wrong?

Your diagram is correct.

I would have however written the Given as stated

Given :

XB≅XA≅AY≅YB ( If they are equidistant then they are all the same distance, thus the values will all be equal)

Prove:

<x≅<b≅<y≅<a (this is because a square is formed) < is angle

XM≅YM≅AM≅MB (The fact that the previous statements are true means that this is a square, if M is the midpoint than all these segments are equal)

MX≅MY

Im not sure what you did wrong besides maybe you didn't prove it well enough, everything is correct that you have written. I cant read the pen but it looks like you were missing a step.

just keep asking questions until you have a better understanding.

step-by-step explanation: