document.write( "Question 463385: A supplement of an angle is six times as large as a complement of the angle. \n" ); document.write( "
Algebra.Com's Answer #317514 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"A supplement of an angle is six times as large as a complement of the angle.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = the angle \n" ); document.write( "180 - x = supplement of the angle {supplementary angles add up t0 180} \n" ); document.write( "90 - x = complement of angle {complementary angles add up to 90}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - x = 6(90 - x) {supplement is 6 times the complement} \n" ); document.write( "180 - x = 540 - 6x {used distributive property} \n" ); document.write( "-x = 360 - 6x {subtracted 180 from both sides} \n" ); document.write( "5x = 360 {added 6x to both sides} \n" ); document.write( "x = 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle is 72° \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |