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UKMT Junior Mathematical Challenge, 2026

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

In the triangle $QPR$ , $\angle QPR = 100°$ , $QP = QS$ and $RP = RT$ . What is the size of $\angle TPS$ ?

(A) $30°$ (B) $35°$ (C) $40°$ (D) $45°$ (E) it depends on the size of $\angle RQP$ .

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