+0  
 
0
60
1
avatar

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?

 Nov 29, 2020
 #1
avatar+114592 
+1

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

 

cool cool cool

 Nov 29, 2020

36 Online Users

avatar