Measurements of CP observables in B±D()K± and B±D()± decays are presented, where D() indicates a neutral D or D meson that is an admixture of D()0 and D¯()0 states. Decays of the D meson to the D0 and D final states are partially reconstructed without inclusion of the neutral pion or photon, resulting in distinctive shapes in the B candidate invariant mass distribution. Decays of the D meson are fully reconstructed in the K±, K+K and + final states. The analysis uses a sample of charged B mesons produced in pp collisions collected by the LHCb experiment, corresponding to an integrated luminosity of 2.0, 1.0 and 2.0 fb1 taken at centre-of-mass energies of s=7, 8 and 13 TeV, respectively. The study of B±DK± and B±D± decays using a partial reconstruction method is the first of its kind, while the measurement of B±DK± and B±D± decays is an update of previous LHCb measurements. The B±DK± results are the most precise to date.