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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.

 Feb 15, 2024
 #1
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The sum of the interior and exterior angles = 180

 

So....the interior angle = 120°

 

To find the number of sides, n

 

(n - 2) 180 /  n =  120

 

(n -2) 180  =  120n

 

180 n - 360  =  120n

 

60n =  360

 

n  =360 / 60  =  6

 

cool cool cool

 Feb 15, 2024

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