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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let's start by finding the value of $m.$ Then, we will use its value to find $n.$

To find the value of $m,$ we need to know the relationship between the angles with measures $(m+2)_{∘}$ and $112_{∘}.$ Let's analyze the given diagram.

These are corresponding angles. The Corresponding Angles Postulate tells us that corresponding angles formed by parallel lines and a transversal are congruent. Therefore, these angles are congruent and their measures are the same. $m+2=112 $ Let's solve this equation!Now, we can find the value of $n.$

The angles with measures $(2n−25)_{∘}$ and $(m+2)_{∘}$ form a linear pair. This tells us that they are supplementary angles. Therefore, the sum of their measures is $180_{∘}.$ $(2n−25)+(m+2)=180⇕2n+m−23=180 $ Since we already know that $m=110,$ we can substitute this value in the above equation, and solve for $y.$