document.write( "Question 256495: I have this question on a homework sheet for review. We covered this topic earlier in the year but I cant remember the steps to take to solve. The question is \"An angle is half the size of its compliment. What is the measure of the larger angle.\" I tried X+1/2=90 and got x=36. I was told that was wrong is the correct answer 54? Thanks! \n" ); document.write( "
Algebra.Com's Answer #188604 by stanbon(75887) ![]() You can put this solution on YOUR website! \"An angle is half the size of its compliment. What is the measure of the larger angle.\" \n" ); document.write( "-------------------------------------- \n" ); document.write( "Let the angle be \"x\". \n" ); document.write( "Its complement is 90-x \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "x = (1/2)(90-x) \n" ); document.write( "x = 45 - (x/2) \n" ); document.write( "(3/2)x = 45 \n" ); document.write( "x = 30 degrees \n" ); document.write( "---- \n" ); document.write( "The complement is 90-30 = 60 degrees. \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |