
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 the diagram, $PQR$ is a straight line.  The triangle $QRS$ is an isosceles triangle with $\angle QRS = 30^\circ$ and $\angle SQR = 30^\circ$, and $\angle PQS = x^\circ$. Determine the value of $x$ if $\angle PSQ = 110^\circ$.

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