
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
An $n$-pointed star is formed by a series of equal-length segments, with each segment measuring $2n$. The angles $ \angle A_{1}, \angle A_{2}, \cdots, \angle A_{n}$ are equal, and the angles $\angle B_{1}, \angle B_{2}, \cdots, \angle B_{n}$ are equal. If $\angle A_{1} = \angle B_{1} - 10^{\circ}$, then find the value of $n$.

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