Why does a 1 angular separation correlate with a flat universe?
See above question for a qualitative explanation of why the size of the CMBR temperature fluctuation blobs is related to the geometry of the universe (larger typical observed size of blobs means a more closed universe, and smaller typical size of blobs means a more open universe). The quantitative prediction that a flat universe has angular separation/size of CMBR blobs of about 1 degree in the sky comes from detailed calculations involving general relativity.