kaitlinroach06
contestada

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)

Respuesta :

Answer:

n is 41.67 degrees

Step-by-step explanation:

At the intersection point of two lines, there are two angles, a and b. The sum of these two angles is 180.

In this question:

One of the angles is (3n - 28)

The other is 83.

Then

[tex]3n - 28 + 83 = 180[/tex]

[tex]3n + 55 = 180[/tex]

[tex]3n = 180 - 55[/tex]

[tex]3n = 125[/tex]

[tex]n = \frac{125}{3}[/tex]

[tex]n = 41.67[/tex]