
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 pentagon is inscribed in a circle. Each vertex of the pentagon is connected to the center of the circle forming five triangles within the circle. Calculate the sum of all the angles at the center formed by these lines.

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