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.
ScanSolve AI Answer
To find VUS, we will use circle theorems. Step 1: Find VUR using the Alternate Segment Theorem. The Alternate Segment Theorem states that the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. Given that MQ is a tangent to the circle at R and VR is a chord, VRM is the angle between the tangent MR and the chord VR. The angle subtended by the chord VR in the alternate segment is VUR. VUR = VRM Given VRM = 46^. VUR = 46^ Step 2: Find RUS using the Angles in the Same Segment Theorem. The Angles in the Same Segment Theorem states that angles subtended by the same arc at the circumference are equal. Given RTS = 28^. This angle is subtended by the arc RS. The ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._