[en] The angular correlation of the electrons emitted in the neutrinoless double beta decay (0ν2β) is presented using a general Lorentz invariant effective Lagrangian for the leptonic and hadronic charged weak currents. We show that the coefficient K in the angular correlation dΓ/dcos θ ∝(1-K cos θ) is essentially independent of the nuclear matrix element models and present its numerical values for the five nuclei of interest (⁷⁶Ge, ⁸²Se, ¹⁰⁰Mo, ¹³⁰Te, and ¹³⁶Xe), assuming that the 0ν2β-decays in these nuclei are induced solely by a light Majorana neutrino, ν_M. This coefficient varies between K=0.82 (for the ⁷⁶Ge nucleus) and K=0.88 (for the ⁸²Se and ¹⁰⁰Mo nuclei), calculated taking into account the effects from the nucleon recoil, the S and P-waves for the outgoing electrons and the electron mass. Deviation of K from its values derived here would indicate the presence of New Physics (NP) in addition to a light Majorana neutrino, and we work out the angular coefficients in several ν_M+NP scenarios for the ⁷⁶Ge nucleus. As an illustration of the correlations among the 0ν2β observables (half-life T_1/2, the coefficient K, and the effective Majorana neutrino mass vertical stroke left angle m right angle vertical stroke) and the parameters of the underlying NP model, we analyze the left-right symmetric models, taking into account current phenomenological bounds on the right-handed W_R-boson mass and the left-right mixing parameter ζ. (orig.)