document.write( "Question 648280: The measure of one angle is 24 degrees greater than the measure of its compliment.What are the measures of the angles? \n" ); document.write( "
Algebra.Com's Answer #406621 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "complementary angles are angles whose measures sum to \"90\"°\r
\n" ); document.write( "\n" ); document.write( "let's angles be \"alpha\" and \"beta\"\r
\n" ); document.write( "\n" ); document.write( "so, \"alpha%2Bbeta=90\".....1\r
\n" ); document.write( "\n" ); document.write( "given: the measure of one angle is \"24\" degrees greater than the measure of its compliment\r
\n" ); document.write( "\n" ); document.write( "so, \"alpha=beta%2B24\"........substitute it in equation 1\r
\n" ); document.write( "\n" ); document.write( "\"beta%2B24%2Bbeta=90\".....solve for \"beta\"\r
\n" ); document.write( "\n" ); document.write( "\"2%2Abeta=90-24\"\r
\n" ); document.write( "\n" ); document.write( "\"2%2Abeta=66\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28beta=33%29\"...now find \"alpha\"\r
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\n" ); document.write( "\n" ); document.write( "\"alpha=90-beta\"\r
\n" ); document.write( "\n" ); document.write( "\"alpha=90-33\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28alpha=57%29\"\r
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