Answer:
[tex]n=37^\circ[/tex]
Step-by-step explanation:
Two lines intersect and create vertical angles.
Vertical angles are the angles opposite each other when two lines intersect. These two angles formed are said to be equal.
Given vertical angles: [tex](3n-28)^\circ$ and 83^\circ.[/tex]
[tex](3n-28)^\circ$ = 83^\circ.\\$Add 28 to both sides\\(3n-28+28)^\circ$ = 83^\circ+28^\circ\\3n=28^\circ+83^\circ\\3n=111^\circ\\$Divide both sides by 3\\n=37^\circ[/tex]