# 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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