document.write( "Question 778361: What is the answer to: the supplement of an angle is 18 less than 4 times the compliment of the angle. Find the measure of the angle \n" ); document.write( "
Algebra.Com's Answer #474585 by negative49(13)![]() ![]() You can put this solution on YOUR website! x = angle \n" ); document.write( "complement of the angle = 90 - x \n" ); document.write( "supplement of the angle = 180 - x\r \n" ); document.write( "\n" ); document.write( "supplement of the angle is 18 less than 4 times the complement of the angle: \n" ); document.write( "(180 - x) - 18 = (90 - x) ( 4) \n" ); document.write( ". \n" ); document.write( "162 - x = 360 - 4x \n" ); document.write( "Combine the like terms \n" ); document.write( "162 - 360 = -4x + x \n" ); document.write( "-198 = - 3x \n" ); document.write( "66 = x\r \n" ); document.write( "\n" ); document.write( "Proof: \n" ); document.write( "complement of the angle = 90 - 66 = 24 \n" ); document.write( "supplement of the angle = 180 - 66 = 114\r \n" ); document.write( "\n" ); document.write( "114 - 18 = (24)(4) \n" ); document.write( "96 = 96 \n" ); document.write( " |