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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?

 Jun 6, 2018

Best Answer 

 #1
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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

 Jun 6, 2018
edited by ElectricPavlov  Jun 6, 2018
 #1
avatar+20309 
0
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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