
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 $ABC$, $AB = 3 \cdot AC$. Let $D$ and $E$ be on $AB$ and $BC$, respectively, such that $\angle BAE = \angle ACD$. Let $F$ be the intersection of line segments $AE$ and $CD$, with $\triangle AFE$ being equilateral. Determine $\angle ACB$.
**A)** 90°  
**B)** 100°  
**C)** 110°  
**D)** 120°  
**E)** 130°

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