Question 120657
Say the angle measures x degrees.  Then its complement measures 90-x degrees.  So we know 90-x=.5x-6
Add x and add 6 to both sides.
96=1.5x
1.5 is 3/2, so multiply both sides by 2/3
64=x
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.