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

[asy]size(101);
draw((1,0)--(1.809,0.5878)--(2.309,1.9511)--(2.118,3.363)--(1.309,4.2533)--(0,4.618)--(-1.309,4.2533)--(-2.118,3.363)--(-2.309,1.9511)--(-1.809,0.5878)--cycle);
draw((1,0)--(3,0));
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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