
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
Point $D$ is an external point from which two tangents $DE$ and $DF$ to a circle are drawn. The points $E$ and $F$ divide the circle into arcs in the ratio $4:5$. What is the degree measure of $\angle{EDF}$?
A) 20 degrees
B) 30 degrees
C) 50 degrees
D) 60 degrees
E) 40 degrees

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