Option A) 27° is NOT a measure of an angle in the given figure.
Explanation:
From the given figure, it can be determined that line BE is a straight line.
We know that, the angle measure of a straight line is 180°
Therefore, (2x + 12)° + 2x° + 60° = 180°
4x + 72 = 180
4x = 180 -72
4x = 108
x = 108/4
x = 27°
The angle x is not mentioned in the figure shown. So, the option A) 27° is not the measure of the angle in the figure.
Now, check for other options whether they are the angles in the figure shown.
∠CFD = 2x° = 2*27 = 54° (option C is an angle in the figure)
∠CFB = (2x+12)° = 54+12 = 66° (option D is an angle in the figure)
∠BFA = (x+2)° = 27+2 = 29° (option B is an angle in the figure)