
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
Consider a regular octagon $ABCDEFGH$. What is the degree measure of angle $AHE$? [asy]
draw((-1,1)--(1,1)--(1.707,0.707)--(2,0)--(1.707,-0.707)--(1,-1)--(-1,-1)--(-1.707,-0.707)--(-2,0)--(-1.707,0.707)--cycle);
draw((-1,-1)--(1.707,0.707)--(-1,1)--cycle);
label("A",(-1,1),NW);
label("B",(1,1),NE);
label("C",(1.707,0.707),E);
label("D",(2,0),E);
label("E",(1.707,-0.707),SE);
label("F",(1,-1),SE);
label("G",(-1,-1),SW);
label("H",(-1.707,-0.707),W);
[/asy]

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