document.write( "Question 1123201: Interior angle of a hexagon is 165degree and remaining each interior angle is of measure xdegree then find measure of all the remaining angel? \n" ); document.write( "
Algebra.Com's Answer #739482 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the sum of the interior angles of a hexagon is 4 * 180 = 720 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if one of those angles is 165 degrees, then the remaining 5 angles must be equal to 720 - 165 = 555 degrees because 555 + 165 = 720\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you divide 555 by 5, you get 111 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one of the internal angles of the hexagon is 165 degrees and the remaining 5 angles are 111 degrees each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is because the sum of the interior angles of a polygon is the same, whether or not the polygon is regular.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the same formula applies:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of the interior angles is (n-2) * 180)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for a hexagon, that becomes 4 * 180 = 720 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for a triangle that becomes 1 * 180 = 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for a quadrilateral, that becomes 2 * 180 = 360 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for a pentagon, that becomes 3 * 180 = 540 degrees degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the same formula applies to a polygon with any number of sides, whether or not that polygon is regular.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |