
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 configuration, a regular pentagon and a regular triangle are attached at one vertex. Find the sum, in degrees, of the measures of angles \(PQR\) and \(PQS\), where \(P\) is the shared vertex, \(Q\) is a vertex on the pentagon, and \(S\) is a vertex on the triangle.

[asy]
draw(10dir(18)--10dir(90)--10dir(162)--10dir(234)--10dir(306)--cycle,linewidth(2)); // Pentagon
draw(10dir(234)--10dir(306)--10dir(306)+(0,-10)--cycle,linewidth(2)); // Triangle

label("P",10dir(234),W);
label("Q",10dir(306),E);
label("R",10dir(18),E);
label("S",10dir(306)+(0,-10),E);
[/asy]

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