# 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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