
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
Acute-angled $\triangle PQR$ is inscribed in a circle with center at $S$; $\stackrel \frown {PQ} = 100^\circ$ and $\stackrel \frown {QR} = 140^\circ$.
A point $T$ is taken in the minor arc $PR$ such that $ST$ is perpendicular to $PR$. Determine the ratio of the magnitudes of $\angle SQT$ and $\angle QSP$.

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