The angular distributions and the differential branching fraction of the decay B⁰→K^∗(892)⁰ μ⁺μ⁻ are studied using a data sample corresponding to an integrated luminosity of 5.2 fb⁻¹ collected with the CMS detector at the LHC in pp collisions at √s=7TeV. From more than 400 signal decays, the forward–backward a symmetry of the muons, the K^∗(892)⁰ longitudinal polarization fraction, and the differential branching fraction are determined as a function of the square of the dimuon in variant mass. The measurements are in good agreement with standard model predictions.