document.write( "Question 577820: two angles are complimentry. The sum of the measure of the first angle and half the second angle is 69degrees. Find the measures of the angles \n" ); document.write( "
Algebra.Com's Answer #370326 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! 2 angles are complementary is their sum is 90 degrees, so:\r \n" ); document.write( "\n" ); document.write( "a + b = 90\r \n" ); document.write( "\n" ); document.write( "a + b/2 = 69 system of equations, multiply bottom by -1\r \n" ); document.write( "\n" ); document.write( "a + b = 90 \n" ); document.write( "-a -b/2 = -69 add \n" ); document.write( "_________________ \n" ); document.write( "b - b/2 = 21 \n" ); document.write( "b/2 = 21 \n" ); document.write( "b = 21(2) = 42\r \n" ); document.write( "\n" ); document.write( "a + 42 = 90 \n" ); document.write( "a = 90 - 42 = 48\r \n" ); document.write( "\n" ); document.write( "Check:\r \n" ); document.write( "\n" ); document.write( "a + b/2 = 69\r \n" ); document.write( "\n" ); document.write( "48 + 42/2 = 69 \n" ); document.write( "48 + 21 = 69 \n" ); document.write( "69=69 √\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |