Question

Help me please

2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees. What is the value of n? (show your work in numbers)

Answer 1

`n=37^\circ`

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:
`(3n-28)^\circ$ and 83^\circ.`

`(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`