document.write( "Question 1097155: If the external angle of a triangle are in ratio 4:5:6, find the ratio of the triangle \n" ); document.write( "
Algebra.Com's Answer #711556 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let k be a number such that the angles are \r\n" ); document.write( "4k°, \r\n" ); document.write( "5k°, and \r\n" ); document.write( "6k° so they will be in the ratio 4:5:6\r\n" ); document.write( "\r\n" ); document.write( "4k° + 5k° + 6k° = 180°\r\n" ); document.write( " 15k° = 180°\r\n" ); document.write( " k° = 12°\r\n" ); document.write( " k = 12\r\n" ); document.write( " \r\n" ); document.write( "The angles are \r\n" ); document.write( "4k° = 4(12)° = 48°, \r\n" ); document.write( "5k° = 5(12)° = 60°, and \r\n" ); document.write( "6k° = 6(12)° = 72°\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |