Question 548094: Find the number of sides of the regular polygon whose interior angles each measure 156 degrees Found 2 solutions by Alan3354, oberobic:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the number of sides of the regular polygon whose interior angles each measure 156 degrees
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Ext angle = 180 - Int angle = 24
n = 360/24 = 15 sides
You can put this solution on YOUR website! Total interior angles = (n-2)*180
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So, the average interior angle = ( (n-2)*180 ) / n
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((n-2)*180)/n = 156
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(n-2)*180 = 156n
180n -360 = 156n
24n = 360
n = 15
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The polygon has 15 sides.
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