Geometry Level pending

$$ABC$$ is an isosceles triangle.
$$B = C = 80 ^\circ$$.
$$CF$$ at $$30^\circ$$ to $$AC$$ cuts $$AB$$ in $$F.$$ $$BE$$ at $$20^\circ$$ to $$AB$$ cuts $$AC$$ in $$E$$.

Find then angle $$BEF$$ in degrees.

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