SOLUTION: If one of the interior angles of a polygon is 260° and the remaining interior angles are each 160°,find the number of sides of the polygon.

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Question 824774: If one of the interior angles of a polygon is 260° and the remaining interior angles are each 160°,find the number of sides of the polygon.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
= number of sides in the polygon
The sum of the measures of all interior angles is
.
So if one interior angle measures ,
and the remaining interior angles measure each,
for the sum of all measures in degrees we can write the equation


Solving:






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