
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, how many degrees are in the exterior angle indicated?

[asy]size(120);
draw((1,0)--(1+cos(pi/4),sin(pi/4))--(1+cos(2*pi/4),sin(2*pi/4)+1)--(cos(3*pi/4)+1,1+sin(3*pi/4))--(-cos(pi/4),1+sin(pi/4))--(-1-cos(pi/4),sin(pi/4))--(-1-cos(2*pi/4),sin(2*pi/4)+1)--(-cos(3*pi/4),1+sin(3*pi/4))--cycle);
draw((1,0)--(3,0));
pair arrowstart = (1,0) + .75 expi(pi/8);
draw(arrowstart--arrowstart + expi(pi/8),BeginArrow);[/asy]

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