
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 triangle $XYZ$, we have $XY = 3 \cdot XZ$. Let $P$ and $Q$ be points on $XY$ and $YZ$, respectively, such that $\angle XPQ = \angle ZQP$. Let $R$ be the intersection of segments $XQ$ and $ZP$, and suppose that $\triangle ZQR$ is equilateral. Determine $\angle XZY$.
A) $30^\circ$
B) $45^\circ$
C) $60^\circ$
D) $90^\circ$

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