
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
A regular pentagon is inscribed in a circle. Calculate the sum of angles, in degrees, formed by lines drawn from the center of the circle to the vertices of the pentagon, which cut off segments outside the pentagon but inside the circle.
A) $900^\circ$
B) $720^\circ$
C) $540^\circ$
D) $630^\circ$
E) $360^\circ$

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