
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 \(A B C D\), the side \(A B\) is equal to the diagonal \(A C\). On the smaller arc \(A D\) of the circumcircle of triangle \(A B D\), a point \(E\) is selected such that \(A B = A E\). Find the angle \(\angle C E D\).

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