# Lines Around a Circle

Geometry Level 5

Points $$A, B, C$$ are given on circle $$\Gamma$$ such that $$AB=BC$$. The tangents at $$A$$ and at $$B$$ intersect again at point $$D$$. The line $$CD$$ intersects $$\Gamma$$ again at $$E$$. The line $$AE$$ intersects $$BD$$ at $$F$$. If $$AD = 120$$, what is the length of $$FB$$?

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