Abstract : We present a method to measure the weak phase gamma in the threebody decay of charged B mesons to the final states D0 K+- pi0. These decays are mediated by interfering amplitudes which are color allowed and hence relatively large. As a result, large CP violation effects that could be observed with high statistical significance are possible. In addition, the threebody decay helps resolve discrete ambiguities that are usually present in measurements of the weak phase. The experimental implications of conducting these measurements with threebody decays are discussed, and the sensitivity of the method is evaluated using a simulation.