Difference between revisions of "1991 IMO Problems/Problem 5"

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== Solution ==
 
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Revision as of 15:29, 6 October 2023

Problem

Let $\,ABC\,$ be a triangle and $\,P\,$ an interior point of $\,ABC\,$. Show that at least one of the angles $\,\angle PAB,\;\angle PBC,\;\angle PCA\,$ is less than or equal to $30^{\circ }$.

Solution

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