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In the diagram the length $SP$, $SQ$ and $SR$ are equal and the angle $SRQ$ is $x^\circ$. What is the size (in degrees) of the angle $PQR$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.