document.write( "Question 821327: The smallest angle in a triangle is 1/2 the size of the largest. The middle angle is 25 less than the largest. Find all three angles. \r
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Algebra.Com's Answer #494013 by algebrahouse.com(1659) You can put this solution on YOUR website! x = the largest angle \n" ); document.write( "0.5x = smallest angle {smallest angle is half the largest} \n" ); document.write( "x - 25 {middle angle is 25 less than the largest}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 0.5x + x - 25 = 180 {angles of a triangle add up to 180°} \n" ); document.write( "2.5x - 25 = 180 {combined like terms} \n" ); document.write( "2.5x = 205 {added 25 to each side} \n" ); document.write( "x = 82 {divided each side by 2.5} \n" ); document.write( "0.5x = 41 {substituted 82, for x, into 0.5x} \n" ); document.write( "x - 25 = 57 {substituted 82, for x, into x - 25}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "82 is the largest angle \n" ); document.write( "57 is the middle angle \n" ); document.write( "41 is the smallest angle \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |