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We report the first observation of $B^0 \to X(3872) (K^{+}\pi^{-})$ andevidence for $B^+ \to X(3872) (K^{0}\pi^{+})$. We measure the product ofbranching fractions for the former to be ${\cal B}(B^0 \to X(3872) (K^+ \pi^-))\times {\cal B}(X(3872) \to J/\psi \pi^+ \pi^-) = (7.9 \pm 1.3(\mbox{stat.})\pm0.4(\mbox{syst.})) \times 10^{-6}$ and find that $B^{0}\to X(3872)K^{*}(892)^{0}$ does not dominate the $B^{0}\to X(3872)K^{+}\pi^{-}$ decaymode. We also measure ${\cal B}(B^+ \to X(3872) (K^0 \pi^+)) \times {\calB}(X(3872) \to J/\psi \pi^+ \pi^-) = (10.6 \pm 3.0(\mbox{stat.}) \pm0.9(\mbox{syst.})) \times 10^{-6}$. This study is based on the full data sampleof 711~fb$^{-1}$ ($772\times 10^6 B\bar B$ pairs) collected at the$\Upsilon(4S)$ resonance with the Belle detector at the KEKB collider.

Observation of $X(3872)$ in $B \to X(3872) K\pi$ decays