
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
Consider a circular arrangement of 12 congruent isosceles trapezoids, such that their non-parallel sides meet at a common center point when extended, forming the corners of an ancient architectural feature like a pavilion. Each trapezoid has interior angles where two adjacent trapezoids meet at the center. If each of these angles is equal and the bottom sides of the two end trapezoids are kept horizontal, calculate the angle measure of the larger interior angle of each trapezoid.

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