document.write( "Question 216445: The question I need help on is :If the supplement of an angle is twenty more than twice its complement, find the original angle, it complement and its supplement \n" ); document.write( "
Algebra.Com's Answer #163423 by drj(1380)![]() ![]() You can put this solution on YOUR website! The question I need help on is: If the supplement of an angle is twenty more than twice its complement, find the original angle, it complement and its supplement \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles is when two angles add up to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Complementary angles is when two angles add up to 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let x be the angle, let 180-x be its supplement, and let 90-x be its complement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Let 2*(90-x) be twice the complement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Then, 180-x=2(90-x)+20 since supplement of an angle is twenty more than twice its complement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. Solving yields the following steps.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 2x-180 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check 160=2*70+20...which is a true statement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The angle is 20 degrees, its supplement is 160 degrees and its complement is 70 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, \r \n" ); document.write( "\n" ); document.write( "please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and \r \n" ); document.write( "\n" ); document.write( "for Trigonmetry please visit \r \n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at \r \n" ); document.write( "\n" ); document.write( "john@e-liteworks.com for your future math needs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |