Based on the present data, the three Cabibbo-Kobayashi-Maskawa (CKM) angles
may construct a spherical surface triangle whose area automatically provid
es a "holonomy" phase. By assuming this geometrical phase to be that in the
CKM matrix determined by an unknown hidden symmetry, we compare the theore
tical prediction on epsilon with experimental data and find the two are con
sistent within error range. The alpha, beta, gamma predicted from this symm
etry are also consistent with data. Further applications to the B-physics a
re briefly discussed. We also suggest restrictions for the Wolfenstein para
meters explicitly; the agreement will be tested by more precise measurement
s in the future.