document.write( "Question 1067849: Two angles are supplementary if their sum is 180°. The larger angle measures thirty degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #683035 by gsmani_iyer(201)![]() ![]() You can put this solution on YOUR website! Let the smaller angle = x \n" ); document.write( "then the greater angle = 2x + 30 ... ... ... (Given)\r \n" ); document.write( "\n" ); document.write( "x + 2x +30 = 180 degrees. .... (Supplementary angles) \n" ); document.write( "3x + 30 = 180 degrees.\r \n" ); document.write( "\n" ); document.write( "3x = 180 - 30 \n" ); document.write( "3x = 150 \n" ); document.write( "therefore x = 150/3 = 50 degrees.\r \n" ); document.write( "\n" ); document.write( "Smaller angle = 50 and\r \n" ); document.write( "\n" ); document.write( "Larger angle = 130 degrees.\r \n" ); document.write( "\n" ); document.write( "I hope this is clear to you.\r \n" ); document.write( "\n" ); document.write( "Feel free to write to me gsmani9@yahoo.com \n" ); document.write( "I do take tuitions too.\r \n" ); document.write( "\n" ); document.write( "God bless you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "gsm \n" ); document.write( " |