
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 shown below, how many degrees are in the exterior angle?

[asy]size(101);
draw((0,0)--cos(pi/8),sin(pi/8)--(cos(pi/8),-sin(pi/8))--(0,-1)--(-cos(pi/8),-sin(pi/8))--(-1,0)--(-cos(pi/8),sin(pi/8))--(0,1)--cycle);
draw((cos(pi/8),-sin(pi/8))--(1.5*cos(pi/8),-1.5*sin(pi/8)));
pair arrowstart = (cos(pi/8),-sin(pi/8)) + .75 expi(pi/16);
draw(arrowstart--arrowstart + expi(pi/16),BeginArrow);[/asy]

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