document.write( "Question 1012114: In a regular polygon, the exterior angle is one-eighth of an interior angle. How many sides has the polygon? \n" ); document.write( "

Algebra.Com's Answer #628040 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "In a regular polygon, the exterior angle is one-eighth of an 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 = 8E
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document.write( "Since both sum to , we get: E + 8E = 180
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document.write( "9E = 180
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document.write( "E, or one of the exterior angles = , or 
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document.write( "Since the sum of the exterior angles of a polygon is , and with one exterior
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document.write( "angle of the REGULAR polygon being , number of sides = , or  \n" );
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