KöMaL 2011 B4331

$P$ is an interior point of a convex polygon $\mathit K$ . Prove that is it possible to find four lines on the plane such that for each side of $\mathit K$ there is a line among the four for which this side lies in one of the open half planes and $P$ lies in the other open half plane formed by the line. Is the statement also true for only three lines instead of four?