We introduce a new method for the estimation of the angular parameters [i.e., central directions of arrival (DOAs) and angular spreads] of multiple non-circular and incoherently-distributed (ID) sources and thoroughly analyze its performance. By decoupling the estimation of the central DOAs from that of the angular spreads, we reduce significantly the complexity of the proposed technique. The latter outperforms most well-known state-of-the-art techniques in terms of estimation accuracy and robustness.