document.write( "Question 466649: A certain angle has a supplement 5 times its complement. What is the angle? \n" ); document.write( "
Algebra.Com's Answer #319939 by algebrahouse.com(1659) You can put this solution on YOUR website! \"A certain angle has a supplement 5 times its complement. What is the angle?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = the angle \n" ); document.write( "90 - x = complement {complementary angles add up to 90°} \n" ); document.write( "180 - x = supplement {supplementary angles add up to 180°}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - x = 5(90 - x) {supplement is 5 times its complement} \n" ); document.write( "180 - x = 450 - 5x {used distributive property} \n" ); document.write( "-x = 270 - 5x {subtracted 180 from both sides} \n" ); document.write( "4x = 270 {added 5x to both sides} \n" ); document.write( "x = 67.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "67.5° is the angle \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |