document.write( "Question 216326: Two angles are supplementary. One angle measures 12 degrees more than the other. What is the measure of the angles.\r
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Algebra.Com's Answer #163347 by drj(1380)![]() ![]() You can put this solution on YOUR website! Two angles are supplementary. One angle measures 12 degrees more than the other. What is the measure of the angles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means that two angles add up to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let x be one angle and let x+12 be its supplementary angle and one angle measures 12 degrees more than the other\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Then x+x+12=180 or 2x+12=180. Subtracting 12 from both sides of the equation yields 2x=168. Dividing by 2 to both sides yields x=84 degrees. Then x+12=96. Also, note that 84+96 add up to 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The supplementary angles are 84 and 96 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 \r \n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r \n" ); document.write( "\n" ); document.write( "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 \n" ); document.write( " |