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Australian AMC 2016 - Senior Question 14

AMC AUSTRALIA · Australian AMC 2016 - Senior

Question 14

A rectangular sheet of paper $PQRS$ has width $PQ$ twice the height $QR$. The paper is folded along a line $PX$ such that $Q$ lies on top of $Q^{\prime}$, a point on $RS$. Angle $SPX$ is

Question illustration
  1. $72^\circ$
  2. $45^\circ$
  3. $60^\circ$
  4. $67.5^\circ$
  5. $75^\circ$