Go Geometry Problem Problem 210. Triangle, Angles, Auxiliary Lines

In the figure below, given a triangle ABC, the measure of the angles ACD, BCD, and ABC are a, 3a, and 120 - 2a. If BC = CE, find the measure of the angle CDE. 
 

Problem 210: Triangle, auxiliary lines
 

Geometric Art: Hyperbolic Kaleidoscope of problem 210

Geometric Art: Hyperbolic Kaleidoscope of problem 210

Auxiliary Line: A line, ray, or segment added to a diagram to help in a proof or solution.
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