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 \(\angle AJB\).

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Xuming Liang by Xuming Liang
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