SOLUTION: A polygon has an interior angle sum of 144°. Find the number of sides in the polygon. OK so I know the answer is 10, but I don't get why. Please help

Algebra ->  Polygons -> SOLUTION: A polygon has an interior angle sum of 144°. Find the number of sides in the polygon. OK so I know the answer is 10, but I don't get why. Please help      Log On


   



Question 850706: A polygon has an interior angle sum of 144°. Find the number of sides in the polygon. OK so I know the answer is 10, but I don't get why. Please help
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A polygon has an interior angle sum of 144°. Find the number of sides in the polygon.
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Ext angles = 180 - 144 = 36 degs
360/36 = 10 sides
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The sum of Ext angles is always 360 degs