
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 given diagram, two polygons are regular. Polygon $WXYZ$ is a triangle, and $PQRS$ is a pentagon. What is the sum, in degrees, of the measures of angles $WXY$, $WXZ$, and $WXP$?

[asy]
draw(10dir(90)--10dir(210)--10dir(330)--cycle,linewidth(2)); // Triangle
draw(10dir(90)--10dir(162)--10dir(234)--10dir(306)--10dir(18)--cycle, linewidth(2)); // Pentagon

label("W",10dir(90),N);
label("X",10dir(210),SW);
label("Y",10dir(330),SE);
label("P",10dir(18),E);
label("Z",10dir(90)+(4,0),N); // Imagine a small imaginary internal line for visualization

draw(10dir(210)--10dir(18), dashed); // To mark visibility 
[/asy]

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