How can you relate these two points?

Geometry Level 5

In ABC\triangle ABC, A=80,B=65,C=35\angle A=80^\circ, \angle B=65^\circ ,\angle C=35^\circ . The internal angle bisectors of B,C\angle B,\angle C meet their respective opposite sides at E,FE,F. Let BB' be a point on segment ACAC such that AB=ABAB'=AB. Let the circumcircle of BBEBB'E intersects FEFE at JJ.

Find the measure (in degrees) of AJB\angle AJB.

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