We consider a scenario for the quark-lepton complementarity relations between mixing angles in which the bimaximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle ${\theta }_{12}$ is $\sim 1\sigma$ (1.5°–2°) above the best fit point coinciding practically with the tribimaximal mixing prediction. Realization of this scenario in the context of the seesaw type-I mechanism with leptonic Dirac mass matrices approximately equal to the quark mass matrices is studied. We calculate the renormalization group corrections to ${\theta }_{12}$ as well as to ${\theta }_{13}$ in the standard model (SM) and minimal supersymmetric standard model (MSSM). We find that in a large part of the parameter space corrections $\Delta {\theta }_{12}$ are small or negligible. In the MSSM version of the scenario, the correction $\Delta {\theta }_{12}$ is in general positive. Small negative corrections appear in the case of an inverted mass hierarchy and opposite $CP$ parities of ${\nu }_1$ and ${\nu }_2$ when leading contributions to ${\theta }_{12}$ running are strongly suppressed. The corrections are negative in the SM version in a large part of the parameter space for values of the relative $CP$ phase of ${\nu }_1$ and ${\nu }_2$: $\phi >\pi /2$.

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