This problem has a lot of extra data that has no relation to the question. You can basically ignore any business about isosceles triangles and congruent segments.
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The only thing you need to know is the angle sum theorem:
m∠FXM + m∠MXA = m∠FXA
Filling in the numbers, you get ...
m∠FXM + 72° = 96°
m∠FXM = 96° -72° = 24°
The measure of angle FXM is 24°. (matches choice A)
