SOLUTION: If a exterior angle of a regular polygon is 144�, then what is the number of its sides?

Question 1083235: If a exterior angle of a regular polygon is 144�, then what is the number of its sides?

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If a exterior angle of a regular polygon is 144�, then what is the number of its sides?
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N = 360/Ext angle = 360/144 = 2.5 sides.
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If it's the interior angle = 144�, the exterior is 36�.
360/36 = 10 sides

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
An exterior angle of a regular polygon CAN NOT be 144�.

In other words, such a regular polygon DOES NOT EXIST.

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