
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
Triangle \(PQR\) is inscribed in a circle. The measures of the non-overlapping minor arcs \(PQ\), \(QR\), and \(RP\) are, respectively, \(x + 80^\circ\), \(3x - 30^\circ\), and \(2x + 10^\circ\). Find one of the interior angles of the triangle.
A) \(55^\circ\)
B) \(60^\circ\)
C) \(65^\circ\)
D) \(70^\circ\)

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