Proof: Because Angel MBA= Angel ABN
So AB bisects the MBC angle
Angle MBA= 1/2 Angle MBC
Because angle MCA= angle ACN
So the AC bisection angle MCB
Angle ACN= 1/2 Angle MCB
So point A is the center of the triangle MBC.
So AMB angle = 1/2 angle BMC.
Because angle BAN= angle AMB+ angle MBA
So the angle BAN= 1/2 (angle BMC+ angle MBC).
Because angle MBC+ angle BMC+ angle MCB= 180 degrees.
So angle MCB= 180- angle MBC- angle BMC.
So the angle BAN=90 degrees angle ACN.
Because angle CAO+ angle AOC+ angle ACN= 180 degrees.
Angle AOC=90 degrees
So the angle CAO=90 degrees angle ACN
So Jiaoban = Jiaocao
Therefore, it is correct that Jiao Ban = Jiao Cao.