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UKMT Junior Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the triangle $PQR$ , the point $S$ is on the edge $QR$ . $\angle QPS = \angle SPR$ , $PQ = PS = SR$ and $\angle PRQ = x^\circ$ . What is the value of $x$ ?

(A) $30$ (B) $33$ (C) $36$ (D) $40$ (E) $45$

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