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'Weekly Problem 14 - 2007' printed from http://nrich.maths.org/

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Triangle
(Diagram not to scale.)
 
 
 
 
In the triangle $PQR$, the angle $QPR=40^{\circ}$ and the internal bisectors of the angles at $Q$ and $R$ meet at $S$, as shown. What is the size of angle $QSR$?

 

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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