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a pentagon has 5 sides total, and no parallel sides. A hexagon has 6 sides, so it has 3 parallel sides. any shape with an odd number of equal sides has 0 parallel sides, no maâ¦tter how many sides it has. every shape with an even number of equal sides will have the # of sides divided by 2 (#/2) of parallel sides.
For the pentagon, this results in a polygon whose angles are all (360 â 108) / 2 = 126Â° . To find the number of sides this polygon has, the result is 360 / (180 â 126) = 62â3, which is not a whole number. Therefore, a pentagon cannot appear in any tiling made by regular polygons.