Question 560100
Complementary means they add up to 90 degrees
given:
{{{ T + U = 90 }}} 
{{{ T - U = 12 }}}
Add the equations
{{{ 2T = 102 }}}
{{{ T = 51 }}}
and, since
{{{ T + U = 90 }}} 
{{{ 51 + U = 90 }}}
{{{ U = 90 - 51 }}}
{{{ U = 39 }}}
The angles are 51 and 39 degrees