
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
On the hypotenuse \( BC \) of a right triangle \( ABC \), points \( D \) and \( E \) are marked such that \( AD \perp BC \) and \( AD = DE \). On the side \( AC \), a point \( F \) is marked such that \( EF \perp BC \). Find the angle \( ABF \).

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