document.write( "Question 175388: An angle measures 15 degrees more than twice its supplement. Find the measure of the supplement. \n" ); document.write( "
Algebra.Com's Answer #130435 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! let x = the angle \n" ); document.write( "180 - x = the supplement of the angle. \n" ); document.write( "--- \n" ); document.write( "the angle measures 15 degrees more than twice its supplement. \n" ); document.write( "x = 15 + (2 * (180-x)) \n" ); document.write( "simplify to get: \n" ); document.write( "x = 15 + 360 - 2x \n" ); document.write( "add x to both sides to get: \n" ); document.write( "3x = 375 \n" ); document.write( "divide both sides by 3 to get: \n" ); document.write( "x = 125 degrees \n" ); document.write( "--- \n" ); document.write( "if x = 15 + 360 - 2x, then \n" ); document.write( "x = 15 + 360 - 250 = 375 - 250 = 125 degrees. \n" ); document.write( "this confirms the original equation so the answer is good. \n" ); document.write( "--- \n" ); document.write( "the measure of the angle is 125 degrees. \n" ); document.write( "this, however, is not what they asked. \n" ); document.write( "--- \n" ); document.write( "the measure of the supplement is 180 - 125 degrees = 55 degrees \n" ); document.write( "the answer is: \n" ); document.write( "the measure of the supplement is 55 degrees. \n" ); document.write( "--- \n" ); document.write( "to confirm again: \n" ); document.write( "x = 15 + 2*55 = 15 + 110 = 125 degrees. \n" ); document.write( "answer is confirmed. \n" ); document.write( "--- \n" ); document.write( " \n" ); document.write( " |