document.write( "Question 906690: The measure of an angle is 16 less than 3 times the measure of its complement.Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #550003 by rm29924(97)![]() ![]() You can put this solution on YOUR website! The complement to an angle makes it equal 90 degrees \n" ); document.write( "Let X = the angle's complement \n" ); document.write( "Let 3X-16 = the angle \n" ); document.write( "X + 3X - 16 = 90 \n" ); document.write( "combine like terms \n" ); document.write( "4X - 16 = 90 \n" ); document.write( "add 16 to both sides \n" ); document.write( "4X = 106 \n" ); document.write( "divide both sides by 4 to get the variable X by itself \n" ); document.write( "X = 26.5 \n" ); document.write( "check your answer \n" ); document.write( "26.5 + 3(26.5)-16 = 90 \n" ); document.write( "26.5 + 79.5 - 16 = 90 \n" ); document.write( "90 = 90 \n" ); document.write( "the angle's complement = 26.5 \n" ); document.write( "3(26.5)-16=63.5 \n" ); document.write( "the angle=63.5 \n" ); document.write( "answer: 26.5 and 63.5 \n" ); document.write( " |