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A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?

 Dec 6, 2020
 #1
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+2

It is a decagon, if you google it up, it says that a decagon has 10 sides.

 

Each Side is 144 degrees. Therefore, it is a decagon. 10 sides

 

👍

 Dec 7, 2020
edited by SmartBoi  Dec 7, 2020
 #2
avatar+114221 
+1

(n - 2)  (180) / n  = 144

 

(n - 2) (180)   = 144n

 

180n  - 360  = 144n

 

180n - 144n  =  360

 

36n  = 360

 

n = 10

 

 

cool cool cool

 Dec 7, 2020

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