
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
Quadrilateral $WXYZ$ is a parallelogram. The diagonals $WY$ and $XZ$ intersect at point $O$. Given that $\angle WOX = 40^\circ$, find the degree measure of angle $W$. 
[asy]
size(100);
draw((0,0)--(5,2)--(6,7)--(1,5)--cycle); 
draw((0,0)--(6,7));
draw((5,2)--(1,5));
draw(Arc((5,2),1,-60,20));
label("$Z$",(0,0),SW); 
label("$Y$",(5,2),SE); 
label("$X$",(6,7),NE); 
label("$W$",(1,5),NW);
label("$40^\circ$",(3.2,3.5), N);
[/asy]

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