
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
Triangles $\triangle PQR$ and $\triangle P'Q'R'$ lie in the coordinate plane with vertices $P(0,0)$, $Q(0,10)$, $R(14,0)$, $P'(-15,20)$, $Q'(-5,20)$, and $R'(-15,6)$. Determine the angle $n$ in degrees for a clockwise rotation around the point $(a,b)$ that transforms $\triangle PQR$ into $\triangle P'Q'R'$, and find $n+a+b$.

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