tan(α+π/4)
=tan[α+β-(β-π/4)]
=[tan(α+β)-tan(β-π/4)]/[1+tan(α+β)tan(β-π/4)]
3/22=[2/5-tan(β-π/4)]/[1+2/5tan(β-π/4)]
3/22*[1+2/5tan(β-π/4)]=[2/5-tan(β-π/4)]
3/22+3/55*tan(β-π/4)=2/5-tan(β-π/4)
3/55*tan(β-π/4)+tan(β-π/4)=2/5-3/22
58/55*tan(β-π/4)=29/110
58*tan(β-π/4)=29/2
tan(β-π/4)=29/58*2=1/4