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The figure shows a regular pentagon $PQRST$ together with three sides $XP$, $PR$, $RU$ of a regular hexagon with vertices $PRUVWX$. What is the size of angle $SRU$?



 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 



This problem is taken from the UKMT Mathematical Challenges.