
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, $m\|n$. Determine the measure of $\angle XYZ$ where:
- Line $XZ$ is perpendicular to line $n$,
- $m\parallel n$,
- Given $\angle ZXY = 105^\circ$.
[asy]
draw((-.4,-.4)--(3,3)--(3,-.4));
draw((-.5,0)--(4,0),Arrows);
draw((-.5,1)--(4,1),Arrows);
draw((2.9,0)--(2.9,.1)--(3,.1));
label("$X$",(2,1),NNW);
label("$Y$",(3,3),N);
label("$Z$",(3,1),NE);
label("$m$",(4,1),E);
label("$n$",(4,0),E);
label("$105^\circ$",(2,1),SSE);
[/asy]

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