How can you relate these two points?

Geometry Level 5

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 $\angle AJB$ .