Assuming ∠FAE measures 72°. The other angle must measure 72° is: ∠FBE.
Angle at 72°
An angle that is subtended by equal arc on the perimeter of a circle tend to have the same measures.
Since angle FAE is subtended by the arc FE on the perimeter of the circle at A which means that the other angle that is subtended by the arc FE on the perimeter of the circle is angle FBE at B.
Hence, if ∠FAE measures 72° the other angle which is ∠FBE must measures 72°.
∠FAE = ∠FBE
Therefore the other angle that measures 72° is ∠FBE.
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