
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, three polygons are regular. Polygon $PQR$ is a triangle, Polygon $QRS$ is a rectangle, and Polygon $RST$ is a pentagon. Point $R$ is shared among them. Calculate the sum of the interior angles at $R$, specifically, angles $PQR$, $QRS$, and $RST$.

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