document.write( "Question 778882: the measure of one interior angle of a regular polygon is 6 greater than twice the measure of an exterior angle at the same vertex. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #474944 by stanbon(75887)\"\" \"About 
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the measure of one interior angle of a regular polygon is 6 greater than twice the measure of an exterior angle at the same vertex. How many sides does the polygon have?
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\n" ); document.write( "Each int/ext pair of angles is supplementary.
\n" ); document.write( "Equation:
\n" ); document.write( "int + ext = 180
\n" ); document.write( "int = 2*ext + 6
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\n" ); document.write( "Substitute for int and solve for ext:
\n" ); document.write( "2ext + 6 + ext = 180
\n" ); document.write( "3ext = 174
\n" ); document.write( "ext = 58 degrees
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\n" ); document.write( "The sum of all of the exterior angle is 360 degrees
\n" ); document.write( "# of sides = # of ext angles = 360/58 = 6.2069
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\n" ); document.write( "Note: Part of the directions for the problem must be incorrect.
\n" ); document.write( "The # of sides should be a whole number.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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