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SMO 2005 Senior Round 1 Question 6

SMO · SMO 2005 Senior Round 1

Question 6

In the diagram, $P,Q,R$ are three points on the circle whose centre is $O$. The lines $PO$ and $QR$ are produced to meet at $S$. Suppose that $RS=OP$, and $\angle PSQ=12^\circ$ and $\angle POQ=x^\circ$. Find the value of $x$.

Question illustration
  1. $36$
  2. $42$
  3. $48$
  4. $54$
  5. $60$