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Measurements of $CP$ observables in $B^{\pm} \rightarrow D K^{*\pm}$ decaysare presented, where $D$ denotes a superposition of $D^0$ and $\overline{D^0}$meson states. Decays of the $D$ meson to $K^{-}\pi^{+}$, $K^{-}K^{+}$,$\pi^{-}\pi^{+}$, $K^{-}\pi^{+}\pi^{-}\pi^{+}$ and$\pi^{-}\pi^{+}\pi^{-}\pi^{+}$ are used and the $K^{*\pm}$ meson isreconstructed in the $K^{0}_{\mathrm{S}}\pi^{\pm}$ final state. This analysisuses a data sample of $pp$ collisions collected with the LHCb experiment,corresponding to integrated luminosities of 1 $\mathrm{fb}^{-1}$, 2$\mathrm{fb}^{-1}$ and 1.8 $\mathrm{fb}^{-1}$ at centre-of-mass energies$\sqrt{s} = $ 7 TeV, 8 TeV and 13 TeV, respectively. The sensitivity of theresults to the CKM angle $\gamma$ is discussed.

Measurement of $CP$ observables in $B^{\pm} \rightarrow D K^{*\pm}$ decays using two- and four-body $D$ final states