The long baseline neutrino oscillation experiment OPERA is searching for $\nu_{\tau}$ appearance in the CNGS beam of $\nu_{\mu}$. The task of the two muon spectrometers of the OPERA detector is to clarify the signature of a muonic $\tau$ decay ($\mu^{-}$) and to reduce background originating from charmed particles produced in $\nu_{\mu}$ interactions ($\mu^{+}$). Based on geometric considerations a method called angular matching method is developed which allows to improve the charge sign determination. In a realistic beam Monte Carlo simulation it is shown that the fraction of misidentified muon charges can be reduced by 39%. A first estimation of the fraction of misidentified muon charges with tracks crossing one spectrometer is presented and compared with real data. Furthermore the potential of the new method is demonstrated as it can lead to an improvement of one order of magnitude concerning the fraction of misidentified muon charges.