Maths Olympiad Prep

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Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In the triangles PQRPQR and STUSTU, RPQ=2×UST\angle RPQ = 2 \times \angle UST, PRQ=2×SUT\angle PRQ = 2 \times \angle SUT and RQP=15×UTS\angle RQP = \frac{1}{5} \times \angle UTS. How large is UTS\angle UTS?

(A) 9090^{\circ} (B) 100100^{\circ} (C) 120120^{\circ} (D) 150150^{\circ} (E) more information needed

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