An axial flow compressor stage has the following data: The static temperature and pressure at entry are $300$K deg and $1$bar respectively. Degree of reaction is $50\%,$ mean blade ring diameter $38$cm$,$ rotational speed $16000$rpm$,$ blade height at entry is $6$cm$,$ air angle at stator and rotor exit $25$deg, the axial velocity is $180$m$/$s$,$ work done factor $0\mathrm{.}88,$ stage efficiency $85\%,$ mechanical efficiency $97\%.$ Determine air angles at rotor and stator entry, mass flow rate, and power required pressure ratio developed$$by$$the$$stage$?$