
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
The interior angles of a convex polygon are in arithmetic progression. If the common difference is \(8^\circ\) and the largest angle is \(172^\circ\), find the number of sides \(n\) the polygon has.
A) 9
B) 10
C) 12
D) 15
E) 18

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