Final answer:
To find the measure of the remote exterior angle, we need to use the property that the sum of the measures of an exterior angle and its corresponding remote interior angles is always 180 degrees.
Step-by-step explanation:
To find the measure of the remote exterior angle, we need to use the property that the sum of the measures of an exterior angle and its corresponding remote interior angles is always 180 degrees. In this case, we have:
mZx = (198 - 5n)°
mZy = (5n + 37)°
mZz = (n + 7)°
Let's add the measures of all three angles: (198 - 5n) + (5n + 37) + (n + 7) = 180
Solving this equation will give us the value of n, which we can then substitute back into one of the given angle measures to find the measure of the remote exterior angle.
Once we have the value of n, we can substitute it into any of the given angle measures to find the measure of the remote exterior angle.