# I've Definitely Seen it Before, Part 2

Geometry Level 3

Triangle

Consider an $$\color{pink}{isosceles}$$ $$\color{purple}{\Delta ABC}$$, with $$\color{green}{\angle A=20^{\circ}}$$, and the other two angles being equal. $$D$$ and $$E$$ are points on $$\overline{AC}$$ and $$\overline{AB}$$ respectively, such that $$\color{orange}{\angle DBC=50^{\circ}}$$ and $$\color{blue}{\angle ECB=60^{\circ}}$$. Determine the magnitude of $$\angle DEC$$ 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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