The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has.

      

The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has.

  

Answers

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Interior:exterior = 23:2

exterior angle = $\frac{360}{25}$ = $14.4^o$

number of sides = $\frac{360}{14.4}$ = 25

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johnmulu answered the question on June 12, 2017 at 06:33

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