
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
A circle is tangent to two parallel lines \( l \) and \( m \) at points \( A \) and \( B \) respectively. \( CD \) is a diameter of the circle parallel to these lines. The line \( BC \) intersects the line \( l \) at point \( E \), and the line \( ED \) intersects the line \( m \) at point \( F \). Determine the angles of triangle \( BEF \).

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