document.write( "Question 267634: The ratio of an angle to its supplement is 3:7. Find the ratio of the angle to its complement. \n" ); document.write( "
Algebra.Com's Answer #196341 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The ratio of an angle to its supplement is 3:7. Find the ratio of the angle to its complement. \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "x/(180-x) = 3/7 \n" ); document.write( "Cross-multiply and solve for \"x\": \n" ); document.write( "7x = 3(180-x) \n" ); document.write( "7x = 540-3x \n" ); document.write( "10x = 540 \n" ); document.write( "x = 54 degrees (the angle) \n" ); document.write( "===================== \n" ); document.write( "Complement = 90-54 = 26 \n" ); document.write( "Ratio of angle to complement: 54/26 = 27/13 = 27:13 \n" ); document.write( "================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |