+0  
 
0
39
1
avatar

The interior angles of a convex polygon are in arithmetic progression. The smallest angle is 120 degrees and the common difference is 5 degrees.  Find the number of sides of the polygon.

 Jun 20, 2021
 #1
avatar+33508 
+1

The xterior angles sum to 360 degrees

 

 

180 -120         +     180 - 125     +     180 - 130    +      180 - 135    +    180 - 140     +    

                    180 - 145    +      180 - 150   +      185 - 155   +        180 - 160       = 360         9 sides

 Jun 20, 2021
edited by ElectricPavlov  Jun 20, 2021
edited by ElectricPavlov  Jun 20, 2021

18 Online Users

avatar