
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
In an "n-pointed star polygon", it is constructed by extending sides such that angles $A_1, A_2, \ldots, A_n$ are congruent, and angles $B_1, B_2, \ldots, B_n$ are also congruent. If each acute angle at $A_i$ is $15^\circ$ less than each angle at $B_i$, determine $n$.
A) 12 
B) 18 
C) 24 
D) 36 
E) 48

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