
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 $PQR$, $PQ = PR$ and $\measuredangle P = 70^\circ$. Points $X, Y$, and $Z$ are on sides $QR, PR$, and $PQ$, respectively. Given that $RX = RY$ and $QZ = QY$, calculate $\measuredangle XYZ$.
**A)** $40^\circ$   
**B)** $45^\circ$  
**C)** $50^\circ$  
**D)** $55^\circ$  
**E)** $60^\circ$

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