
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 $ABC$, $AC = BC$, and let $D$ and $E$ be points on $\overline{AB}$ and $\overline{BC}$, respectively, such that $\angle BAE = \angle ACD = x$. Let $F$ be the intersection of segments $AE$ and $CD$. Suppose $\triangle CFE$ is an isosceles right triangle with $\angle CFE = 90^\circ$. Calculate $\angle ACB$.

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