
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
In triangle ABC, AB = AC, and D is a point on side BC such that BD = 2DC. Point E is on side AB such that BE = 2EA. If DE is drawn and DE = EA + DC, find the angle $\angle B$.

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