Let
be a triangle and
an interior point of
. Show that at least one of the angles
is less than or equal to
.
%V0
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 $30^{\circ }$.