document.write( "Question 244931: What is the value of x if you have an isoceles triangle with one angle having a value of x+3 degrees and the base angles having a value of 2x - 2 degrees?
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Algebra.Com's Answer #179096 by Theo(13342)![]() ![]() You can put this solution on YOUR website! sum of the angles of a triangle is 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one angle is x+3 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 angles are 2x-2 degrees each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sum of the angles of the triangle equals\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3 + 2 * (2x - 2) equals:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3 + 4x - 4 equals:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x - 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this sum equals 180 degrees so:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x - 1 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 1 to both sides to get 5x = 181\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 5 to get x = 181/5 = 36.2 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in original equation to see if this is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3 + 2 * (2x - 2) = 180 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36.2 + 3 + 2*(72.4-2) = 180 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36.2 + 3 + 2*70.4 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36.2 + 3 + 140.8 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to getg:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 = 180 which is true confirming that x = 36.2 is a good answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |