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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