SOLUTION: Please help! How do you figure out the number of sides in a regular polygon if you only know the measure of the interior angles? THANKS! Need my tomorrow morning please!

Algebra ->  Polygons -> SOLUTION: Please help! How do you figure out the number of sides in a regular polygon if you only know the measure of the interior angles? THANKS! Need my tomorrow morning please!      Log On


   

Question 221630: Please help! How do you figure out the number of sides in a regular polygon if you only know the measure of the interior angles? THANKS! Need my tomorrow morning please!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help! How do you figure out the number of sides in a regular polygon if you only know the measure of the interior angles? THANKS! Need my tomorrow morning please!
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Let's say the angle is 120 degrees.
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Then its corresponding exterior angle is 180-120 = 60 degrees
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That means every exterior angle is 60 degrees.
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Important point: The sum of ALL the exterior angles is ALWAYS 360 degrees.
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# of exterior angles is 360/60 = 6
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Therefore # of sides is 6.
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Cheers,
Stan H.