To find the measure of angle MFG (let's call it \( x \)), we can use the information about the angles provided.
In triangle EFM, the sum of the interior angles must equal 180 degrees. We have:
- Angle EFG = 120 degrees
- Angle EFM = 60 degrees
- Angle MFG = \( x \)
We can set up the equation based on the sum of the angles in the triangle:
\[ 120 + 60 + x = 180 \]
Now, we can simplify this equation to find \( x \):
\[ 180 + x = 180 \]
Subtracting 180 from both sides gives:
\[ x = 180 - 180 \]
This is incorrect as it simplifies directly to \(x\) and leads us with an undefined value.
Instead, rearranging the formula to find \(x\):
\[ x = 180 - 120 - 60 \]
This leads to:
\[ x = 0 \]
This shows an incorrect understanding in the conventional triangle area.
However, rearranging \(x\) based on the angles is the correct route for finding the required value of MFG. The correct answer form from the options appear:
- \(120\) degrees = \(x - 60\) degrees
This reflects well upon rearranging through basic algebra from a triangle property.
Thus the correct equation that can be used to find the measure of angle MFG is:
120 degrees = x - 60 degrees.