
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 diagram, $XYZ$ is a straight line. What is the measure of $\angle XWZ,$ in degrees? [asy]
pair X=(0,0);
pair Y=(1.5,0);
pair Z=(2.5,0);
pair W=(1.1,1);

draw(W--X--Y--Z--W--Y);

label("$X$",X,S);
label("$Y$",Y,S);
label("$Z$",Z,S);
label("$W$",W,N);

label("$35^\circ$",X+(.15,.07),NE);
label("$75^\circ$",W-(.03,.18),S);
label("$55^\circ$",Z+(-.35,.07),NW);

[/asy]

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