In circle B with m
AC.

We need to find the angle measure of the minor arc which is [tex]\sf\widehat{AC}[/tex] . We note that the measure of a complete angle is 360 degree. So that ,
Using this :-
[tex]\sf : \implies \angle ABC + m\angle ABC = 360^o \\\\\sf: \implies 106^o + m\angle ABC = 360^o \\\\\sf: \implies m\angle ABC = 360^o - 106^o \\\\\sf: \implies \red{ m \angle ABC = 254^o }[/tex]
Hence the required answer is 254° .