  We determine the $\eta-\eta'$ mixing angle via a procedure relatively
independent of theoretical assumptions by simultaneously fitting $\eta- eta'$
reactions involving the anomaly--$\eta,\eta'\to\gamma\gamma, \pi^+\pi^-\gamma$.
We extract reasonably precise renormalized values of the octet and singlet
pseudoscalar decay constants $F_8,F_0$ as well as the mixing angle $\theta$.
