
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
Regular hexagon $XYZABC$ and regular octagon $AZHIJKLM$ are drawn on opposite sides of line segment $AZ$ such that they are coplanar. What is the degree measure of the exterior angle $ZAH$? [asy]
draw((0,2.5)--(0,7.5)--(4,10)--(8,7.5)--(8,2.5)--(4,0)--cycle,linewidth(1));
draw((8,2.5)--(11.5,-1)--(14,-5)--(12,-8)--(8,-6.5)--(4,0),linewidth(1));
dot((0,2.5)); dot((0,7.5)); dot ((4,10)); dot((8,7.5)); dot((8,2.5)); dot((4,0));

label("Y",(0,2.5),W); label("X",(0,7.5),W); label("W",(4,10),N);

label("V",(8,7.5),E); label("A",(8,2.5),NW); label("Z",(4,0),SW);
dot((11.5,-1)); dot((14,-5)); dot((12,-8)); dot((8,-6.5));
label("H",(11.5,-1),E); label("I",(14,-5),SE); label("J",(12,-8),SE); label("K",(8,-6.5),SW);
[/asy]

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