We consider within the standard model the time-dependent decay rates of the three processes B(d)(0) --> D(0)K(s), D(0)BARK(s) and D(I)(0)K(s), where D(I)(0) is a neutral D meson CP-eigenstate. We show that it is possible to derive from these processes, in which two weak amplitudes are involved, two of the three angles in the unitarity triangle of the Cabibbo-Kobayashi-Maskawa matrix. The third angle can be determined from B(s)(0) --> D-phi. All three angles are obtained free of hadronic final-state uncertainties.