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Directions: Find the value of n for each regular n-gon described.

Question: Each interior angle of the regular n-gon has a measure of 165 degrees.

Answer: ???

-I guess you're trying to find the side but I don't know how to. D:

Guest Feb 19, 2015

Best Answer 

 #1
avatar+92429 
+5

I think you're trying to find the number of sides......

We can find the interior angle of a regular polygon with the "formula"  .....  (n - 2) 180 / n  .... so we have

(n-2)180 / n = 165   multiply both sides by n

(n-2)180 = 165n       simplify

180n - 360 = 165n    subtract 180n from both sides

-360 = -15n              divide by -15 on both sides

24  = n

 

Note......we can't find the side lenth, because any regular polygon with n sides might have any side length....!!!

 

CPhill  Feb 19, 2015
 #1
avatar+92429 
+5
Best Answer

I think you're trying to find the number of sides......

We can find the interior angle of a regular polygon with the "formula"  .....  (n - 2) 180 / n  .... so we have

(n-2)180 / n = 165   multiply both sides by n

(n-2)180 = 165n       simplify

180n - 360 = 165n    subtract 180n from both sides

-360 = -15n              divide by -15 on both sides

24  = n

 

Note......we can't find the side lenth, because any regular polygon with n sides might have any side length....!!!

 

CPhill  Feb 19, 2015

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