The angular distribution of Auger electrons is considered, and the angular distribution anisotropy parameter α₂ for (M₃ → N₂N₃), (M₃ → N₃N₃), (M₄ → N₁N₃), (M₄ → N ₄N₅), (M₄ → N₅N₅), and (M_{4, 5} → O_{2, 3}O_{2, 3}) transitions in a xenon atom is calculated. The matrix elements are evaluated by trie nonrelativistic Hartree-Fock method with LS coupling, as well as by the relativistic Hartree-Fock method with jj coupling (single-configuration approximation) and intermediate coupling (multi-configuration approximation).