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'Weekly Problem 1 - 2011' printed from http://nrich.maths.org/

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The three angle bisectors of triangle $LMN$ meet at a point $O$ as shown. 
 
$\angle LNM$ is $68^{\circ}$. What is the size of $\angle LOM$?
 
 
 
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This problem is taken from the UKMT Mathematical Challenges.

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