
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 trapezoid \(ABCD\), the side \(AD\) is equal to the diagonal \(BD\). On the minor arc \(CD\) of the circumcircle of triangle \(ACD\), point \(E\) is chosen such that \(AD = DE\). Find the angle \(\angle BEC\).

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