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In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle.  Find the number of sides in this regular polygon.

 Jan 7, 2024
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Measure of  each interior angle  =  (n-2)180  / n

Measure of each exterior angle  = 360 / n

 

So

 

(n -2) 180  /  n =  2 *360 /  n

 

180n - 360  =  720

 

180n  =  720 + 360

 

180 n = 1080

 

n =  1080 /  180  =    6

 

cool cool cool

 Jan 7, 2024

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