A polygon is regular if all the sides are equal and all the interior angles are equal. Two sides of regular octagon

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

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