#### Answer

m$\angle$x=120$^{\circ}$
m$\angle$y=70$^{\circ}$

#### Work Step by Step

$\angle$x is corresponding to an angle with a measure of 120$^{\circ}$, so x has that same measure.
The third angle in the triangle that includes $\angle$y, is supplementary to m$\angle$x. Therefore its value is 180-m$\angle$x.
m$\angle$y+50+180-m$\angle$x=180
m$\angle$y+50+60=180
m$\angle$=70$^{\circ}$