
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
What is the degree measure of angle $VXZ$ when polygon $VWXYZABCD$ is a regular octagon?
```
[asy]
draw((-2,0)--(-1.414,1.414)--(0,2)--(1.414,1.414)--(2,0)--(1.414,-1.414)--(0,-2)--(-1.414,-1.414)--cycle);
draw((-1.414,-1.414)--(1.414,1.414)--(0,-2)--cycle);
label("V",(-1.414,-1.414),SW);
label("W",(-2,0),W);
label("X",(-1.414,1.414),NW);
label("Y",(0,2),N);
label("Z",(1.414,1.414),NE);
label("A",(2,0),E);
label("B",(1.414,-1.414),SE);
label("C",(0,-2),S);
label("D",(-1.414,-1.414),SW);
[/asy]
```

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