Question 349423
Let the angle be A, then...
{{{A = ((90-A)/2)+12}}} "An angle (A) exceeds one half its complement ({{{(90-A)/2}}}) by 12 degrees ({{{(+12)}}})".
{{{A = ((90-A)/2)+12}}} Multiply through by 2.
{{{2A = 90-A+24}}} Add A to both sides.
{{{3A = 90+24}}} Simplify.
{{{3A = 114}}} Divide both sides by 3.
{{{A = 38}}}
The angles is 38 degrees.