document.write( "Question 996669: how would I write an algebraic expression for this? \"two angles form a linear pair. the measure of one angle is 51 degrees more than 1/2 the measure of the other angle\" \n" ); document.write( "
Algebra.Com's Answer #615059 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = the measure of one angle \n" ); document.write( "y = the measure of the other angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the measure of one angle is 51 degrees more than 1/2 the measure of the other angle. \n" ); document.write( "x = 1/2 * y + 51\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since they are a linear pair, the sum of their angles must be equal to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get x + y = 180 \n" ); document.write( "since x = 1/2 * y + 51, you can replace x with 1/2 * y + 51 to get: \n" ); document.write( "1/2 * y + 51 + y = 180 \n" ); document.write( "subtract 51 from both sides of this equation to get: \n" ); document.write( "1/2 * y + y = 180 - 51 = 129 \n" ); document.write( "combine like terms to get: \n" ); document.write( "3/2 * y = 129 \n" ); document.write( "multiply both sides of this equation by 2/3 to get: \n" ); document.write( "y = 129 * 2 / 3 = 86.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that x = 1/2 * y + 51 \n" ); document.write( "this makes x = 43 + 51 = 94 \n" ); document.write( "94 + 86 = 180 \n" ); document.write( "looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 94 degrees \n" ); document.write( "y = 86 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since you were only asked to write the algebraic equation, you can stop at -----. the rest just tells you how to solve for each of those angles based on the information given.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |