SOLUTION: Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
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Question 309335: Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
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The adjacent angles are supplementary:
x + 3x = 180
4x = 180
x = 45 degrees (exterior angle)
3x = 135 degree (interior angle)
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The sum of the exterior angles is 360
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# of exterior angles = 360/45 = 4
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# of sides = 4
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Cheers,
Stan H.
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