document.write( "Question 523937: Two angles are complementary. The measure of one angle is 12° more than one-half of the measure of the other. Find the measure of each angle.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #347476 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Two angles are complementary. The measure of one angle is 12° more than one-half of the measure of the other. Find the measure of each angle. \n" ); document.write( ". \n" ); document.write( "The sum of two angles that are complementary is 90 degrees. \n" ); document.write( ". \n" ); document.write( "Let x = one of two angles \n" ); document.write( "then \n" ); document.write( "(1/2)x + 12 = second angle \n" ); document.write( ". \n" ); document.write( "x + (1/2)x + 12 = 90 \n" ); document.write( "x + (1/2)x = 78 \n" ); document.write( "(2/2)x + (1/2)x = 78 \n" ); document.write( "(3/2)x = 78 \n" ); document.write( "x = (2/3)78 \n" ); document.write( "x = (2)26 \n" ); document.write( "x = 52 degrees (first angle) \n" ); document.write( ". \n" ); document.write( "second angle: \n" ); document.write( "(1/2)x + 12 = (1/2)52 + 12 = 26 + 12 = 38 degrees \n" ); document.write( " \n" ); document.write( " |