
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. Calculate the sum, in degrees, of the angles inside the pentagon that subtend to each vertex arc directly opposite to each vertex.
A) 540°  
B) 360°  
C) 720°  
D) 1080°  
E) 900°

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