document.write( "Question 615055: the exterior of a regular polygon is 2/3 of its interior angle ,how many sides are their in the polygon.
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Algebra.Com's Answer #386909 by stanbon(75887)\"\" \"About 
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the exterior of a regular polygon is 2/3 of its interior angle ,how many sides are their in the polygon.
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\n" ); document.write( "the interior and corresponding exterior angl are supplementary
\n" ); document.write( "ext = (2/3)interior
\n" ); document.write( "ext + int = 180
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\n" ); document.write( "Substitute for ext and solve for int.
\n" ); document.write( "(2/3)int + int = 180
\n" ); document.write( "(5/3)int = 180
\n" ); document.write( "int = (3/5)180
\n" ); document.write( "int = 108
\n" ); document.write( "ext = 72
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\n" ); document.write( "sum of the exterior angles = 360 degrees
\n" ); document.write( "# of ext = 360/72 = 5
\n" ); document.write( "# of sides = 5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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