
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 point lies on the base of an isosceles obtuse triangle such that the segment is equal to the radius of the circumscribed circle of the triangle. Find the angle.

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