The decay D (1285)—⁺K ™7г° has been studied. The invariant-mass distribution of the kaon pair has been found with a statistical base an order of magnitude better than in previous studies. Analysis of the differential spectrum dN/dm_{K +K}in the ^-dominance model shows that the δ (980) meson cannot be described as a Breit-Wigner resonance with a small width. The "effective width" of the δ meson at the point yfs = 1 GeV/c² is Γ_δ > 180 MeV/c². This result indicates a strong coupling of the δ meson with hadrons.