document.write( "Question 1198663: An angle measures 6° less than the measure of its complementary angle. What is the measure of each angle? \n" ); document.write( "
Algebra.Com's Answer #832290 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "complementary angles are two angles whose sum is \"90\"°\r
\n" ); document.write( "\n" ); document.write( "let one angle be \"alpha\" and the other \"beta\"\r
\n" ); document.write( "\n" ); document.write( "\"alpha+%2B+beta=90\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if an angle measures \"6\"° less than the measure of its complementary angle\r
\n" ); document.write( "\n" ); document.write( "\"alpha=beta-6\"\r
\n" ); document.write( "\n" ); document.write( "substitute in\r
\n" ); document.write( "\n" ); document.write( "\"alpha+%2B+beta=90\"\r
\n" ); document.write( "\n" ); document.write( "\"beta-6+%2B+beta=90\"\r
\n" ); document.write( "\n" ); document.write( "\"2beta=90%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"2beta=96\"\r
\n" ); document.write( "\n" ); document.write( "\"beta=48\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"alpha=48-6\"\r
\n" ); document.write( "\n" ); document.write( "\"alpha=42\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "one angle measures \"42\"° and the measure of its complementary angle is \"48\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );