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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Here's a step-by-step solution for Question 10. Question 10.1: Prove that US is a tangent to circle PWUT at U. Step 1: Identify relevant properties from the given information. We are given that WPTU is a cyclic quadrilateral and UW = UT. From UW = UT, WUT is an isosceles triangle, which means the angles opposite these sides are equal: UW T = UTW (angles opposite equal sides) Step 2: Use the property of parallel lines. We are given SU WT. Therefore, the alternate interior angles are equal: SUT = UTW \