document.write( "Question 120657: the measure of the complement of an angle is 6 degrees less than half the measure of the angle. find the measure of the angle \n" ); document.write( "

Algebra.Com's Answer #88707 by ilana(307) $\"\"$ $\"About$

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Say the angle measures x degrees. Then its complement measures 90-x degrees. So we know 90-x=.5x-6
\n" ); document.write( "Add x and add 6 to both sides.
\n" ); document.write( "96=1.5x
\n" ); document.write( "1.5 is 3/2, so multiply both sides by 2/3
\n" ); document.write( "64=x
\n" ); document.write( "Test to make sure this works. The complement would be 90-64=26 degrees. Half would be 32, so 32-6=26. So x=64 works. \n" ); document.write( "

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