Hello :)
The measure of ∠BFD would be 90° because it is a complementary angle, you could actually tell that it is 90° because if ∠BFD 64° & 54° then the angle would actually be more narrow, if it was 216 it would be wider. The rest of the angles such as ∠AFB, ∠CFD, and ∠AFC. The vertex of this figure is also point F, so all of the angles are equal.