In \(\triangle ABC\), \(\angle A=80^\circ, \angle B=65^\circ ,\angle C=35^\circ \). The internal angle bisectors of \(\angle B,\angle C\) meet their respective opposite sides at \(E,F\). Let \(B'\) be a point on segment \(AC\) such that \(AB'=AB\). Let the circumcircle of \(BB'E\) intersects \(FE\) at \(J\).
Find the measure (in degrees) of \(\angle AJB\).