document.write( "Question 179844: If two complementary angles have measures 2x-15 and x+30, find the measure of the smallest acute angle. \n" ); document.write( "

Algebra.Com's Answer #134753 by Mathtut(3670) $\"\"$ $\"About$

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let our angles a=2x-15 and b=x+30
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\n" ); document.write( "a+b=90
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\n" ); document.write( "2x-15+x+30=90
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\n" ); document.write( "3x=75
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\n" ); document.write( " $\"highlight%28x=25%29\"$
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\n" ); document.write( " $\"highlight%28a=2%2825%29-15=35%29\"$ degrees (the smallest acute angle)
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\n" ); document.write( "b=25+30=55 degrees \n" ); document.write( "

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