
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 cyclic quadrilateral is inscribed in a circle. If the external angles are formed by extending each side of the quadrilateral and inscribed in the four external arcs cut off by these extended sides, calculate the sum of the external angles.

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