The angle of 9x+25 and 13x-19 are corresponding angles, and they are equal to each other. so we have:
9x+25=13x-19
4x=44
x=11
Now the angle of 13x-19 and 17y+5 are supplementary. We find 13x-19=13(11)-19=124.
So 124+17y+5=180
17y+5=56
17y=51
y=3
So x=11, y=3.