# Chapter 2 - Review Exercises - Page 117: 12

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$^{\circ}$

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