
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 diagram, \(ABCD\) is a trapezoid with \(BC\) parallel to \(AD\) and \(AB = CD\). Point \(E\) is on \(AD\) such that \(BE\) is perpendicular to \(AD\). Point \(F\) is the point of intersection between \(AC\) and \(BE\). If \(AF = FB\) and \(\angle AFE = 50^\circ\), what is the measure of \(\angle ADC\)?

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