
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
Let $AB$ be a diameter of a circle centered at $O$. Let $F$ be a point on the circle, and let the tangent at $B$ intersect the tangent at $F$ and $AF$ at $C$ and $D$, respectively. If $\angle BAF = 30^\circ$, find $\angle CFD$, in degrees.

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