A polygon is regular if all the sides are equal and all the interior angles are equal. Two sides of regular octagon \(O\) lie on lines \(l\) and \(m,\) respectively. If \(l\) and \(m\) intersect, what is the angle of intersection as measured facing in toward the octagon?

(1) Lines \(l\) and \(m\) do not intersect at a vertex of \(O.\)

(2) A line bisecting the angle of intersection of \(l\) and \(m\) also bisects an interior angle of \(O.\)

Answer: C

Source: Princeton Review