
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 draw a radius of a circle. We draw a second radius  $23$  degrees clockwise from the first radius. We draw a third radius  $23$  degrees clockwise from the second. This continues until we have drawn  $40$  radii each  $23$  degrees clockwise from the one before it. What is the measure in degrees of the smallest angle between any two of these  $40$  radii?

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