The decays ϒ(4S)→BB , followed by B→D^*π and D^*→Dπ, permit reconstruction of all kinematic quantities that describe the sequence without reconstruction of the D, with reasonably low backgrounds. Using an integrated e^+e^- luminosity of 3.1 fb^(-1) accumulated at the ϒ(4S) by the CLEO-II detector, we report measurements of B(B ^0→D^(*+)π^-) = (2.81±0.11±0.21±0.05)×10^(-3) and B(B-→D^*0π^-) = (4.34±0.33±0.34±0.18)×10^(-3).