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geometry math

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If you put two dodecagons together with another polygon that will exactly surround a point what type of polygon could be used?

  • geometry math - ,

    Recall that the exterior angles of a regular polygon add up to 360°.
    So for a dodecagon (12 sides), the exterior angle is 360/12=30°.
    Two dodecagons back to back will give 2*30=60° left over.
    The number of sides of the regular polygon that will fit the bill
    =360/60= ?

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