
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
We call the angle at which two circles intersect the angle formed by the tangents to these circles at the point of intersection. When do two circles intersect at an angle of $0^{\circ}$? $90^{\circ}$? $180^{\circ}$?

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