document.write( "Question 248482: The sum of the measures of any triangle is 180 degrees. Find the angle measures of a triangl if the second angle measures 10 degerees less than twice the first, and the third angle measures 25 degrees more than the second. \n" ); document.write( "
Algebra.Com's Answer #181095 by College Student(505)![]() ![]() You can put this solution on YOUR website! The sum of the measures of any triangle is 180 degrees. Find the angle measures of a triangle if:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. the second angle measures 10 degrees less than twice the first and \n" ); document.write( "2. the third angle measures 25 degrees more than the second\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = one angle \n" ); document.write( "Let 2x-10 = second angle \n" ); document.write( "Let (2x-10)+25 = third angle ...same as... 2x+15 \n" ); document.write( "Their sum equals 180 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the equation becomes: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now add like terms and solve for x to determine the first angle. \n" ); document.write( "Plug this value in 2x-10 to determine the second value. \n" ); document.write( "Plug the x value in 2x+15 to determine the third angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They must all add up to 180. I'll let you take it from here! \n" ); document.write( " |