
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 the regular octagon below, how many degrees are in the exterior angle indicated?

[asy]size(120);
draw((0,0)--(1,0)--(1.7,0.7)--(1.7,1.7)--(1,2.4)--(0,2.4)--(-0.7,1.7)--(-0.7,0.7)--cycle);
draw((1,0)--(2,0));
pair arrowstart = (1,0) + .75 expi(pi/9);
draw(arrowstart--arrowstart + expi(pi/9),BeginArrow);[/asy]

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