Distribution of the cosine of the angle in the time step before the merger between: the gas angular momenta around each MBH (top left), the orbital angular momentum and the gas angular momenta (top middle), the MBH spins and the gas angular momenta (top right), the MBH spins and the orbital angular momentum (bottom left) and the two MBH spins (bottom middle). The MBH spin magnitudes are shown in the bottom right panel. The distributions are shown for OBELISK-RECOIL (red), OBELISK (green), and the ‘hot’ and ‘cold’ disc models in the circumbinary disc simulations of Dotti et al. (2010) (orange and yellow). If both the quantities of the primary and the secondary are shown separately, the primary is shown in solid lines and the secondary in dotted lines.