
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 circle $O$, triangle $PQR$ is inscribed. The non-overlapping minor arcs $PQ$, $QR$, and $RP$ measure $x+100^{\circ}$, $2x+50^{\circ}$, and $3x-40^{\circ}$, respectively. Determine one of the interior angles of triangle $PQR$.

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