SOLUTION: If two regular polygons are such that the number of sides of one double the number of sides of the other and each interior angle of the first is double the interior angle of the se

Algebra ->  Polygons -> SOLUTION: If two regular polygons are such that the number of sides of one double the number of sides of the other and each interior angle of the first is double the interior angle of the se      Log On


   

Question 1152690: If two regular polygons are such that the number of sides of one double the number of sides of the other and each interior angle of the first is double the interior angle of the second, find the number of sides of each.
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
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The ANSWER is:  the regular polygons are  a) a regular triangle and b) a regular hexagon (6 sides).



Explanation.  


It can be solved without using any equation/equations.


Indeed, it is clear, that under the given conditions, a regular triangle is the only possible regular polygon 
with the smaller interior angle.


The rest of the solution is OBVIOUS.