Answer
$x=30,y=75$
Work Step by Step
As per the statement: $x+2y=180$ and $y+3x+15=180$
Plug $x=180-2y$ in the second equation, then we get
$y+3(180-2y)+15=180 \implies -5y=-375$
or, $y=75$
Now, $x+2(75)=180 \implies x=30$
Thus, $x=30,y=75$