Two overlapping triangles POR and QOT are such that points P, Q, R and T lie on the arc of a semicircle of centre O and diameter PQ, as shown in the diagram. Lines QT and PR intersect at the point S. Angle TOP is 3x^{} and angle ROQ is 5x^{}. Show that angle RSQ is 4x^{}.
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Junior Mathematical Olympiad 2021 (2021)
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