# I Am Proud Of This Tangent

Geometry Level 5

$$D$$ lies on segment $$BC$$, $$CE$$ is tangent to circumcircle $$\odot ABD$$ at $$E$$, and $$\angle CAD=\angle BCE$$.

If $$\frac {5}{3}BC=AC+AB$$ and $$AC=33$$. Find $$CD$$.

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