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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 112 degrees. How many sides does the polygon have?

Firewolf  Jun 6, 2018

Best Answer 

 #1
avatar+12565 
+2

Sum of interior angles of a polygon    (n-2)180

 

THIS polygon sum = 160 + (n-1)112         set these two equations =

 

(n-2)180 = 160 + (n-1)112     and solve for  n = 6

ElectricPavlov  Jun 6, 2018
edited by ElectricPavlov  Jun 6, 2018
 #1
avatar+12565 
+2
Best Answer

Sum of interior angles of a polygon    (n-2)180

 

THIS polygon sum = 160 + (n-1)112         set these two equations =

 

(n-2)180 = 160 + (n-1)112     and solve for  n = 6

ElectricPavlov  Jun 6, 2018
edited by ElectricPavlov  Jun 6, 2018

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