ONMAS 2006

Geometry Level 2

Let \(ABC\) a triangle, \(D\) and \(E\) poits on \(AC\)and \(BC\), respectively, such that \(AB||DE\). Let \(P\) foot height from \(A\) to \(BC\). If \(\angle ACB=20°\) and \(AB=2DE\), find \(\angle PDC\) in degrees.

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