
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 $\Delta ABC$, where $AB = AC$, let $D$ be a point on line $AB$ extended, such that $AD = DB$ and $CE$ is planted inside $\Delta ABC$ such that $E$ is on $AB$ and $D \parallel AC$. Given $m\angle ACB = 58^\circ$, find $m\angle AEC$.

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