document.write( "Question 675131: The measure of an angle is 12 degrees less than its complement, what is the measure of the smaller angle in degrees? \n" ); document.write( "
Algebra.Com's Answer #419557 by rm29924(97)![]() ![]() You can put this solution on YOUR website! The complement of an angle is an angle that when added to another angle = 90 degrees\r \n" ); document.write( "\n" ); document.write( "let the complement angle = x \n" ); document.write( "the smaller angle = x-12 \n" ); document.write( "addes together they equal 90 degrees\r \n" ); document.write( "\n" ); document.write( "x+x-12=90 \n" ); document.write( "combine like terms \n" ); document.write( "2x-12=90 \n" ); document.write( "add 12 to both sides \n" ); document.write( "2x=102 \n" ); document.write( "divide both sides by 2 \n" ); document.write( "x=51\r \n" ); document.write( "\n" ); document.write( "the smaller angle is 51-12= 39\r \n" ); document.write( "\n" ); document.write( "51+39=90\r \n" ); document.write( "\n" ); document.write( "the smaller angle is 39 degrees \n" ); document.write( " |