
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The triangle  $ABC$  is equilateral. The ray  $[BE$  intersects the segment  $[AC]$  at  $D$ , such that  $\angle CBE= 20^o$  and  $|DE|=|AB|$ . What is the measure of the angle  $\angle BEC$  ?
![Image](https://1.bp.blogspot.com/-Jo_RPrXDzt0/XzAYNoxvhRI/AAAAAAAAMTo/QHWoXLrDZKUFHEkaq1DsDP71I1OxJpkxACLcBGAsYHQ/w312-h183/OBM%2B2007%2Bp1.jpg)

Present the answer in LaTex format: \boxed{Your answer}
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