Question 119341
You can solve two ways:
{{{(3r+44)+(5s+11)=180}}}
{{{(8s-19)+(5r-6)=180}}}
That gives you a system of equations in r and s.
{{{3r+5s=125}}}
{{{5r+8s=205}}}
The other, easier way is the equality of the angles. 
{{{3r+44=5r-6}}}
{{{8s-19=5s+11}}}
This way each equation only has one variable. 
{{{3r+44=5r-6}}}
{{{-2r=-50}}}
{{{highlight(r=25)}}}
{{{8s-19=5s+11}}}
{{{3s=30}}}
{{{highlight(s=10)}}}