Question 1187046
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At each vertex of a regular n-gon, the ratio of the interior angle to the exterior angle is 5:1. 
Find the value of n
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<pre>
Let x be the measure of the exterior angle;

then the measure of the interior angle is 5x, according to the condition.


Sp, we have


    x + 5x = 180  degrees,

     6x    = 180

      x    = 180/6 = 30.


Thus the exterior angle is 30 degrees, and the number of sides (= angles) of the regular n-gon is


      n = {{{360/30}}} = 12.     <U>ANSWER</U>
</pre>

Solved.