document.write( "Question 94082This question is from textbook Geometry
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document.write( ": Two angles are supplementary. One angle measures 12degrees more than the other. Find the measures of the angles. \n" );
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Algebra.Com's Answer #68490 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( "\n" ); document.write( "Two angles are supplementary. One angle measures 12degrees more than the other. Find the measures of the angles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "If the two angles add to 180°, we say they \"Supplement\" each other. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assume that one angle = X degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other angle = X + 12 degrees ( it is given that other angle is 12 degrees more than the first one)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since supplementary angles add to 180 degrees, we can write,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "X + ( X + 12 ) = 180\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> X + X + 12 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 2X + 12 = 180\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 12 from both sides \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 2X + 12 - 12 = 180 - 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 2X = 168 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 2\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( "==> X = 84\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is one angle is 84 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the other angle is X +12 = 84 + 12 = 96 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the supplementary angles are, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\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( " \n" ); document.write( " |