I've Definitely Seen it Before, Part 2

Geometry Level 3

Consider an isosceles\color{#E81990}{isosceles} ΔABC\color{#69047E}{\Delta ABC}, with A=20\color{#20A900}{\angle A=20^{\circ}}, and the other two angles being equal. DD and EE are points on AC\overline{AC} and AB\overline{AB} respectively, such that DBC=50\color{#EC7300}{\angle DBC=50^{\circ}} and ECB=60\color{#3D99F6}{\angle ECB=60^{\circ}}. Determine the magnitude of DEC\angle DEC in degrees.

Note:- This question is not mine in any way whatsoever. It is a quite popular problem, and I could not find the exact source, and will be eagerly waiting for the same. Protractor users will be prosecuted.

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