
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 a circle, the radii \(OA, OB\) were drawn, followed by the square \(KLMN\) such that \(K\) and \(L\) bisect the radii and \(M\) and \(N\) are on the circumference. What is the angle \(AOB\)?

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