
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 model race car driver remotely controls a car, moving it forward 1m, and then rotating it counterclockwise in place by an angle $\alpha$ ($0° < \alpha < 180°$), which is considered one operation. If after five operations, the car returns to the starting point, determine the angle $\alpha$.

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