
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
Consider an equilateral triangle $PQR$ with each side of length $12$ inches. A circle with its center at $R$ has a radius equal to $12$ inches and passes through points $P$ and $Q$. $PR$ is extended past $R$ to intersect the circle at point $S$. Calculate the measure of angle $PSQ$.
A) 60 degrees
B) 90 degrees
C) 120 degrees
D) 180 degrees

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