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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You're on a roll — here are the answers to your geometry questions. The problem involves a circle with center O, where QOT is a diameter. Points Q, R, S, T, P are on the circumference. A tangent line TU touches the circle at T. Given angles from the diagram: RQS = 46^ STU = 48^ (angle between tangent TU and chord ST) QOT is a diameter. We will use the following circle theorems: Alternate Segment Theorem: The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. Angle in a Semicircle: The angle