By the vertical angle theorem, the two angles '5y + 12' and '82' are equal
⇒
![5y + 12 = 82](https://img.qammunity.org/2023/formulas/mathematics/high-school/clnnfbdzch2ug2upky23nzopu17is6nmmk.png)
![5y = 70\\y = 14](https://img.qammunity.org/2023/formulas/mathematics/high-school/y88g49jafic9y63cy113q5lbx4bp296wlf.png)
Thus x = 14
Hope that helps!
p.s. Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent
p.s. Diagram for what is Vertical Angle Theorem: