Question 898544
x and y are the measures of two complementary angles.


x+y=90.


The rest of the description transcribes to {{{90-((180-x)-(180-y))=2}}}.
You use meaning of supplementary angles, that their sum is 180 degrees.


Simplify the more complicated equation.
{{{90-(180-180-x+y)=2}}}
{{{90-(y-x)=2}}}
{{{90+x-y=2}}}
{{{x-y=-88}}}
{{{y-x=88}}}


NOW you have a simplifies SYSTEM of equations:
{{{system(x+y=90,y-x=88)}}}


If you begin with elimination method, you eliminate x and solve for y value.
{{{x+y+y-x=90+88}}}
{{{2y=90+88}}}
{{{y=45+44}}}
{{{highlight(y=89)}}}


This means {{{highlight(x=1)}}}.