document.write( "Question 230283: The measure of the supplement of an angle is 60 more than twice the measure of an angle. Find the measure of the larger angle. \n" ); document.write( "
Algebra.Com's Answer #170512 by drj(1380)![]() ![]() You can put this solution on YOUR website! The measure of the supplement of an angle is 60 more than twice the measure of an angle. Find the measure of the larger angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means two angles add up to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let x be the angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 2x be twice the angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Let 180-x be the supplementary angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Then 180-x=2x+60 since the supplement of an angle is 60 more than twice the measure of an angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. Solving 180-x=2x+60 yields the following steps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add x 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( "Subtract 60 from 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( "Divide by 3 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 equation \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 7. The larger angle is 140 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\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( " |