
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 regular pentagon $ABCDE$ inscribed in a circle, into each of the five segments outside the pentagon, an angle is inscribed facing each vertex respectively. Calculate the sum of these five angles, expressed in degrees.

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