This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
$\angle QRS = 74^\circ$
You're on a roll — here's how to calculate the value of :
Step 1: Use the exterior angle property of a cyclic quadrilateral at point P. The exterior angle is equal to the interior opposite angle . Given . Therefore, .
Step 2: Use the exterior angle property of a cyclic quadrilateral at point Q. The exterior angle is equal to the interior opposite angle . Given . Therefore, .
Step 3: Find using
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You're on a roll — here's how to calculate the value of PRS: Step 1: Use the exterior angle property of a cyclic quadrilateral at point P.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.