document.write( "Question 228666: find the measure of an angle such that the difference between the measures of it's supplement and three times it's complement is 10 degre\r
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document.write( "how do I write the formula to solve this? \n" );
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Algebra.Com's Answer #169684 by rapaljer(4671) You can put this solution on YOUR website! Let x = the angle \n" ); document.write( "90-x= the complement \n" ); document.write( "180-x= the supplement\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"the difference between the measures of its supplement and 3 times its complement is 10\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(180-x)-3(90-x)=10\r \n" ); document.write( "\n" ); document.write( "180-x-270+ 3x=10 \n" ); document.write( "-90 +2x = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 90 to each side: \n" ); document.write( "2x= 100 \n" ); document.write( "x=50 degrees = The angle\r \n" ); document.write( "\n" ); document.write( "Complement = 90-50=40 degrees \n" ); document.write( "Supplement = 180-50=130 degrees\r \n" ); document.write( "\n" ); document.write( "Check: 3 times the complement = 3(40)=120 degrees\r \n" ); document.write( "\n" ); document.write( "The difference between the supplement and 3 times the complement is 10 degrees, so it checks!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |