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UKMT Junior Mathematical Challenge, 2021

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

In the diagram shown, $PT = QT = QR$ . Also, $RT = RS$ and $\angle PTQ = 36°$ . What is $\angle PTS$ ?

(A) $72°$ (B) $80°$ (C) $90°$ (D) $100°$ (E) $108°$

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