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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, $PQ = PR = QS$ . Line segments $PR$ and $QS$ are perpendicular to each other. What is the sum of $\angle PRQ$ and $\angle PSQ$ ?

(A) $90°$ (B) $105°$ (C) $120°$ (D) $135°$ (E) $150°$

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