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Polygon Cradle

Age 11 to 14 Short Challenge Level:





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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.