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'Weekly Problem 35 - 2009' printed from http://nrich.maths.org/

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$ABCD$ is a square. $P$ and $Q$ are points outside the square such that triangles $ABP$ and $BCQ$ are both equilateral. How big is angle $PQB$?

 

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.

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