
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 a circle, diameter $\overline{FB}$ is parallel to $\overline{CE}$, and $\overline{AC}$ is parallel to $\overline{FE}$. The angles $AFC$ and $ACF$ are in the ratio $3:7$. Compute the degree measure of angle $BDE$.
A) 25°
B) 27°
C) 50°
D) 63°
E) 54°

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