document.write( "Question 323897: The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles. \n" ); document.write( "
Algebra.Com's Answer #231801 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let angle be A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then its complement = 90 - A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, since the angle is six more than twice the measure of its complement, we'll have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 2(90 - A) + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 180 - 2A + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3A = 186\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, one angle is |