
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 quadrilateral is circumscribed around a circle. The circle intersects the vertices of the quadrilateral, creating four arc segments. Determine the sum of the angle measures at the bases of these segments.

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