X=14, Y=75
(9x-1) and (5x-15) are supplementary angles.
So if you set up an equation, it looks like:
(9x-1)+(5x-15)=180. Simplify
14x-16=180
14x=196
X=14
(9x-1) and (y-20) are also supplementary angles. To solve for Y, we need to find (9x-1) first by plugging in x
(9(14)-1) =125
Now solve for Y
125+y-20=180
105+y=180
Y=75