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UKMT Junior Mathematical Challenge, 2024 Geometry Difficulty 2.0 Junior Find the answer United Kingdom
In the diagram shown, P Q R S PQRS P QR S is a rhombus and P Q T PQT P QT is an isosceles triangle in which P T = Q T PT = QT P T = QT . Angle P S R = 110 ∘ PSR = 110^\circ P S R = 11 0 ∘ . What is the size of angle S Q T SQT S QT ?
(A) 5 ∘ 5^\circ 5 ∘ (B) 10 ∘ 10^\circ 1 0 ∘ (C) 12.5 ∘ 12.5^\circ 12. 5 ∘ (D) 15 ∘ 15^\circ 1 5 ∘ (E) 20 ∘ 20^\circ 2 0 ∘
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