document.write( "Question 1123060: the sum of the measure of two angles is 160 degrees. one angle measures 8y and the other angle measures 7y - 50. find y and then find the measure of each angle. how do i solve this?
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Algebra.Com's Answer #739278 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the sum of the angles is 160 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle 1 measures 8y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle 2 measures 7y - 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the sum of the angles is 160, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8y + (7y - 50) = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8y + 7y - 50 = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15y - 50 = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 50 to both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15y = 210\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 210 / 15 = 14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the first angle is 8y, therefore it is equal to 8 * 14 = 112.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the second angle is 7y - 50, therefore it is equal to 7 * 14 - 50 = 98 - 50 = 48.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the two angles are 112 and 48.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "their sum is 160.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 14 \n" ); document.write( "angle 1 = 112 \n" ); document.write( "angle 2 = 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |