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# Does an octagon always have perpendicular sides?

Updated: 4/28/2022

Wiki User

13y ago

No! An Octagon that is not regular can have 8 lines that meet at any angle provided that they ultimately create an 8 sided enclosed shape.

A regular Octagon, however, will always have pairs of sides that are perpendicular. In a regular Octagon the interior angles must all be equal and must sum to 1080 degrees (6 x 180 degrees). Accordingly the interior angles will all equal 135 degrees. As a consequence the exterior angles equal 45 degrees and since two exterior angles equal 90 degrees every side will be perpendicular to the sides that are adjacent but one in either direction. Likewise opposite sides (4 exterior angles apart) will be parallel.

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If it is regular, yes. Each side of a regular octagon has two other sides that are perpendicular to it.

Wiki User

13y ago

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Q: Does an octagon always have perpendicular sides?
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