  We show that both the weak phase \beta and the strong phase \delta_d can be
determined from the time-dependent measurement of B_d -> D^{*\pm} D^{\mp}
decays, whose final states are non-CP eigenstates. It is also possible to
extract \beta from B_d -> D^{*\pm} D^{*\mp} transitions without doing the
angular analysis. Possible final-state rescattering effects in B_d ->
D^{(*)\pm} D^{(*)\mp} channels are discussed by means of the isospin analysis.
We emphasize that it is worthwhile to check whether the naive factorization
approximation works or not for such B-meson decay modes into two heavy charmed
mesons.
