document.write( "Question 822748: In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon? \n" ); document.write( "
Algebra.Com's Answer #495061 by stanbon(75887)\"\" \"About 
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In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon?
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\n" ); document.write( "Let the exterior angle be \"x\"
\n" ); document.write( "Then the interior angle is 180-x
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\n" ); document.write( "180-x/x = 7/2
\n" ); document.write( "7x = 360-2x
\n" ); document.write( "5x = 360
\n" ); document.write( "x = 72 degrees
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\n" ); document.write( "# of sides = # of exterior angles = 360/72 = 5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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