
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 circle is divided into 8 equal sectors, and each of these sectors is subdivided into angles forming an arithmetic sequence. If the total sum of angles in each sector is \(180^\circ\), find the degree measure of the smallest possible angle in the subdivisions of one sector.
A) 28 degrees
B) 30 degrees
C) 32 degrees
D) 34 degrees

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