A polygon is regular if all the sides are equal and all the

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Source: Princeton Review

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.

The OA is C
Source: — Data Sufficiency |