document.write( "Question 348945: the floor of a gazebo is in the shape of a regular polygon. The measure of an exterior angle of the gazebo floor is one third the measure of an interior angle. \r
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document.write( "How many sides does the gazebo have? Show work or explain in words how this was determined. \r
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document.write( "* There is a diagram to this question.
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document.write( "In words it looks like... if you turn the paper to landscape form, the diagram looks like a k without the bottom \ then turning he paper portrait there is an \"x\" on the left side if the diagram and \"x\" over 3 on the right. \n" );
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Algebra.Com's Answer #249428 by scott8148(6628) You can put this solution on YOUR website! the interior/exterior pair are supplementary (they sum to 180º)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so ___ x + 3x = 180º ___ x = 45º\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the exterior angles of a polygon sum to 360º\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so the number of sides is ___ 360/45 \n" ); document.write( " |