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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) GIVING BRAINLIEST

Answer :

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are [tex](3n-28)^\circ$ and 83^\circ.[/tex]

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

[tex](3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37[/tex]

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