# Finding the measure of an angle inside triangle

Geometry Level 5

In $$\triangle ABC$$, point $$D$$ and $$E$$ lies on $$AC$$ and $$AB$$ respectively, such that $$\angle ABD=20^\circ$$, $$\angle DBC=50^\circ$$, $$\angle BCE=60^\circ$$ and $$\angle ECA=10^\circ$$. Find $$\angle DEC$$. Submit your answer to the nearest integer.

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