
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, what is the measure of the exterior angle indicated?

[asy] size(120); 
draw((0,0)--(1,0)--(1.809,0.587)--(2.309,1.951)--(2.118,3.347)--(1.309,4.362)--(0,4.951)--(-1.309,4.362)--(-2.118,3.347)--(-2.309,1.951)--(-1.809,0.587)--cycle); 
draw((1,0)--(1.5,0)); 
pair arrowstart = (1.25,0) + .75 expi(pi/8); 
draw(arrowstart--arrowstart + expi(pi/8),BeginArrow);
[/asy]

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