document.write( "Question 895295: What is the measure of the supplement?\r
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document.write( "The measure of an angle is 9 times greater than its supplement. \n" );
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Algebra.Com's Answer #542712 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the supplement is what you get when you subtract your angle from 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle and its supplement is always equal to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the angle is x, then the supplement is 180 - x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the angle is 9 times its supplement then the angle is equal to 9 * (180 - x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is x = 9 * (180 - x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 1620 - 9x \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 9x to both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x = 1620\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 10 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 162 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle is 162 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "its supplement is 180 - 162 = 18 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9 * 18 = 162 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle is equal to 9 times its supplement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the problem is solved and the solution is x = 162 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |