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'Weekly Problem 50 - 2008' printed from http://nrich.maths.org/

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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 $PQR$?

triangle

 

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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