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Strange Rectangle
Age 16 to 18
Challenge Level 
Show that, for any values of $x$ and $y$ where $x> y$,
- the angle $SPQ$ is always the same and find this angle
- the angle $SRQ$ is always the same and find this angle
- the quadrilateral $SPQR$ is cyclic
- the angle $PQR$ is always the same and find this angle
- the angle $PSR$ is always the same and find this angle.
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