Question 123481
Let x be the measure of the angle.  The angle's complement is then 90 - x, since the sum of complementary angles is 90 degrees.


But we are told that {{{x=3(90-x)+32}}}


Solve for x:
{{{x=270-3x+32}}}
{{{x+3x=270+32}}}
{{{4x=302}}}
{{{x=75.5}}}


Check:
{{{90-75.5=14.5}}}
{{{3(14.5)=43.5}}}
{{{43.5+32=75.5}}} Checks.