Results of fitting the models of Sect. 3 to the EHT data sets. Gray bands denote previous measurements of mass and orientation of the M87*. Left: masses of the best-fit models. Different models with spin a = 0.8 give mass measurement consistent with that reported by the EHT. Models with zero spin give systematically inconsistent mass estimate. Right: position angles (east of north) of the brightest region in the best-fit models. All models constrain the brightness maximum to be located in the south of the source image, consistent with the EHT results.