i just need the answer and ill do the labels

By the vertical angle theorem, the two angles '5y + 12' and '82' are equal
⇒ [tex]5y + 12 = 82[/tex]
[tex]5y = 70\\y = 14[/tex]
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:
Answer:
y = 14
Step-by-step explanation:
82° = (5y + 12)°
5y = 82 - 12
5y = 70
y = 14
{calculate carefully{