An axial flow compressor stage has blade root,mean and tip velocities of 150,200 and 250 m/s. The stage is to be designed for a stagnation temperature rise of 20K and axial velocity of 150 m/s, both constant from root to tip. The work-done factor is 0.93. Assuming %50 reaction at mean radius, calculate the stage air angles at root? Assume constant work input at all radii.