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'Weekly Problem 1 - 2011' printed from

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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 $\angle LOM$?
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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