SOLUTION: how do you find the number of sides of a polygon if the interior angles measure 140 degrees

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Question 403149: how do you find the number of sides of a polygon if the interior angles measure 140 degrees
Found 2 solutions by Alan3354, scott8148:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The exterior angles are 40º (180 - 140)
The sum of ext angles of ALL polygons = 360º
360/40 = 9 sides

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the EXTERIOR angles of a regular polygon sum to 360º

the interior and exterior angles are supplementary ___ x + 140º = 180º ___ x = 40º

360º / 40º = n