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UKMT Junior Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram shown, PQRSPQRS is a rhombus and PQTPQT is an isosceles triangle in which PT=QTPT = QT. Angle PSR=110∘PSR = 110^\circ. What is the size of angle SQTSQT?

(A) 5∘5^\circ (B) 10∘10^\circ (C) 12.5∘12.5^\circ (D) 15∘15^\circ (E) 20∘20^\circ

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