
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
Given a pentagon is inscribed in a circle, calculate the sum of the angles that are inscribed into each of the five segments outside the pentagon, each segment being the region outside the pentagon but inside the circle.

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