The discrete symmetry D 12 at the electroweak scale is used to fix the quark and lepton mixing angles. At the leading order, the Cabbibo angle θ C is 15°, and the PMNS matrix is of a bi-dodeca-mixing form giving the Solar-neutrino angle θ sol = 30°. Thus, there results the relation θ sol + θ C ≃ 45°. Out of discrete vacua, a certain vacuum is chosen for this assignment to be consistent with the dodeca-symmetry. A shift of θ C from 15° to 13.14° might arise from a small breaking of the dodeca-symmetry. The spontaneous breaking leading to the required electroweak vacuum is made possible by realizing the electroweak dodeca-symmetry explicitly at a high energy scale. At the vacuum we chose Arg.Det.M q is nonzero, and hence a solution of the strong CP problem invites a very light axion at a high energy scale. We also comment how the next level corrections can fit the mixing angles to the observed values. An example realizing this idea needs a symmetry SU(3) c × SU(2) L × U(1) Y × D 12 × U(1)Γ × Z 3 × Z 2.