
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 circle $O$, $\overline{EB}$ is a diameter and the line $\overline{DC}$ is parallel to $\overline{EB}$. The line $\overline{AB}$ intersects the circle again at point $F$ such that $\overline{AB}$ is parallel to $\overline{ED}$. If angles $AFB$ and $ABF$ are in the ratio 3:2, find the degree measure of angle $BCD$.

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