document.write( "Question 222083:  The supplement of an angle is four times the complement of the angle. Find the measure of the complement.\r
\n" );
document.write( "\n" );
document.write( "<1=x
\n" );
document.write( "<2=4x
\n" );
document.write( "<1+<2=180 degrees
\n" );
document.write( "dont get how to add in the complementary \n" );
document.write( "
| Algebra.Com's Answer #166384 by rapaljer(4671)     You can put this solution on YOUR website! There are a couple of ways to do this one. I think since you have supplement AND complement in this problem, I would \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the angle. Then, \n" ); document.write( "90-x = the complement \n" ); document.write( "180-x = the supplement\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Write the equation this way:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Supplement IS 4 times Complement \n" ); document.write( "180-x = 4(90-x) \n" ); document.write( "180-x = 360-4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add +4x to each side: \n" ); document.write( "180-x+4x= 360-4x+4x \n" ); document.write( "180+3x = 360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtrac 180 from each side: \n" ); document.write( "3x = 180\r \n" ); document.write( "\n" ); document.write( "x= 60 the angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The complement is 90-x = 30 degrees \n" ); document.write( "The supplement is 180-x = 120 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer the question: \"Find the measure of the complement.\" The answer to the problem is 30 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \"The supplement is 4 times the complement.\" This is true!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " |