
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 the drawing below, \( C \) is the intersection point of \( AE \) and \( BF \). \( AB = BC \) and \( CE = CF \). If \(\angle CEF = 50^\circ\), determine the angle \(\angle ABC\).

![Diagram](https://cdn.mathpix.com/cropped/2024_05_01_20684006194a352111ccg-10.jpg?height=552&width=885&top_left_y=1363&top_left_x=491)

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