document.write( "Question 829857: the measure of an angle is 40 less than two thirds of its complement. Find the measure of the angle
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #500169 by rm29924(97)![]() ![]() You can put this solution on YOUR website! Let the angle = x \n" ); document.write( "It's complement is whatever angle added to it equals 90 degrees. \n" ); document.write( "Let the complement = y \n" ); document.write( "x+y=90 \n" ); document.write( "x is 40 less than two thirds its complement \n" ); document.write( "x = 2/3y-40 \n" ); document.write( "plug that value for x into the equation \n" ); document.write( "2/3y-40+y=90 \n" ); document.write( "multiply the whole equation by 3 to get rid of the fraction \n" ); document.write( "3(2/3y-40+y=90) = 2y-120+3y=270 \n" ); document.write( "5y-120=270 \n" ); document.write( "5y=390 \n" ); document.write( "y=78\r \n" ); document.write( "\n" ); document.write( "x+78=90 \n" ); document.write( "x=12\r \n" ); document.write( "\n" ); document.write( "answer: the angle is 12 degrees\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |