
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
Given triangle ABC, AB = 3 * AC, and points D and E are on segments AB and BC respectively, such that angle BAE = angle ACD. Let F be the intersection of segments AE and CD. Given that triangle CFE is isosceles with CF = FE, determine the measure of angle ACB.

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