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

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

by Vincen » Thu Sep 09, 2021 7:21 am

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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 $$O.$$