Triangle ABC has angles ∠A=3α,∠B=90∘ and ∠C=3γ. Let P be a point in segment BC such that ∠PAB=α, and Q be a point in segment BA such that ∠QCB=γ. Let R be a point within the triangle such that ∠RAC=α and ∠RCA=γ. If ∠QRC=142∘, what is the measure (in degrees) of α?