document.write( "Question 1037922: The exterior angle of a regular polygon is one-third of its interior angle. How many sides has the polygon
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Algebra.Com's Answer #652593 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "The exterior angle of a regular polygon is one-third of its interior angle. How many sides has the polygon
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Let one of the exterior angles be E
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document.write( "Then one of the interior angles is: 3E
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document.write( "Since the exterior and interior angles are supplementary, we get: E + 3E = 180
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document.write( "4E = 180
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document.write( "E, or one of the EXTERIOR angles = \"180%2F4\", or 45o
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document.write( "Since the exterior angles of any polygon sum to 360o, we can say that the number of sides of the polygon = \"360%2F45\", or \"highlight_green%288%29\", thus making it an OCTAGON. \n" );
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