# What a proposal

Geometry Level 5

In the figure below

the quadrilateral $$ABCD$$ is inscribed in a circle. The lines $$AB$$ and $$CD$$ meet at $$E$$.The diagonals $$AC$$ and $$BD$$ meet at $$F$$. The circumcircles of the triangle $$AFD$$ and $$BFC$$ meet again at $$H$$. Find the measure of angle $$EHF$$ in degrees.

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