Question 149389
"measure of angle j is half of its compliment plus 12 degrees" translates to {{{j=(1/2)(c+12)}}} 



Also, since angle j and angle c are complementary angles, this means that {{{j+c=90}}}



{{{(1/2)(c+12)+c=90}}} Plug in {{{j=(1/2)(c+12)}}} 



{{{c+12+2c=180}}} Multiply every term by 2 to clear the fraction.



{{{c+2c=168}}} Subtract 12 from both sides.



{{{3c=168}}} Combine like terms.



{{{c=56}}} Divide both sides by 3.



{{{j=(1/2)(c+12)}}} Go back to the first equation.



{{{j=(1/2)(56+12)}}} Plug in {{{c=56}}}



{{{j=(1/2)(68)}}} Add



{{{j=34}}} Multiply.