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One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 146 degrees. How many sides does the polygon have?

 Jun 20, 2022
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I believe that Cphill already posted an answer for this question (for another question). This is what he said:
 

"Sum of the  interior angles of a polygon  = (n - 2) (180)  where n  is the  number of sides

 

So  we  have this

 

(n -2) (180)  =  160  + 146 (n - 1)   simplify

 

180 n - 360  =  160  + 146n - 146

 

180n - 360 =  14   + 146n

 

180n - 146n  =  360 + 14

 

34n  =  374

 

n = 374 / 34    =   11  sides"

 Jun 20, 2022

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