Final answer:
The equations that are equivalent are n = (a/180) + 1, n = (a/180) + 2, n = (a + 360)/180. These equations can be verified by substituting values for n and a and checking if both equations yield the same result.
Step-by-step explanation:
The equations that are equivalent are:
n = (a/180) + 1
n = (a/180) + 2
n = (a + 360)/180
To check that these equations are equivalent to a = 180(n-2), we can substitute different values for n and a and see if both equations yield the same result. For example, let's say n = 3 and a = 540. Plugging these values into both equations, we get:
a = 180(n-2) = 180(3-2) = 180
n = (a/180) + 1 = (540/180) + 1 = 4
n = (a/180) + 2 = (540/180) + 2 = 5
n = (a + 360)/180 = (540 + 360)/180 = 4
As you can see, all three equations yield the same result, therefore they are all equivalent to a = 180(n-2).