Lines Around a Circle

Geometry Level 5

Points A,B,CA, B, C are given on circle Γ \Gamma such that AB=BC AB=BC. The tangents at AA and at BB intersect again at point DD. The line CDCD intersects Γ\Gamma again at EE. The line AEAE intersects BDBD at FF. If AD=120AD = 120, what is the length of FBFB?

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