A novel graphical method has been devised for [A + 4] (J P ) α −→ A * (J 1 ) γ −→ A (J 2 ) decay, in odd-A nuclei, when J P < J 1 , to determine whether spin relaxation in the state of spin J 1 has occurred. For a short lived excited daughter state A * of spin J 1 , its populated magnetic substates, following α-decay from a parent nucleus [A + 4] of spin J P , should be restricted to those of value |M| J P (when J 1 > J P ). However, for longer lived excited states, spin relaxation allows population of J P < |M| J 1 substates. The statistical tensors B 2 and B 4 (or population alignment coefficients) of Rose and Brink can be determined from the measured (non-zero) Legendre polynomial coefficients. These measured B 2 and B 4 can be compared with their theoretical counterparts both for the case when |M| J P and for the case when |M| J 1 . It is then readily apparent, from a graphical examination, whether spin relaxation has occurred or not. The same statistical tensors B 2 and B 4 , also allow one to analyse α-γ directional angular correlations and α-γ linear polarization angular distributions simultaneously, rather than as different data sets. The technique has been applied to the case of 219 Rn J P = 5/2 + α −→ 215 Po * J 1 = 7/2 + γ =271 keV − −−−−−→ 215 Po 9/2 + decay. Spin relaxation of the 271 keV state (T 1 / 2 ≈ 0.2 ns) allowing population of substates with |M| 7/2, is required to satisfactorily fit the published data. The population of the M = ±7/2 substates due to spin relaxation is estimated to be less than 20% of the total, equally split between the two.