Question

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 1

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

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

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

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