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'Weekly Problem 18 - 2007' printed from http://nrich.maths.org/

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Pentagon with sides of a regular hexagon
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 $SRU$?

 

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This problem is taken from the UKMT Mathematical Challenges.

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