Let D be a point on side [AB] of triangle ABC with ∣AB∣=∣AC∣ such that [CD] is an angle bisector and m(ABC)=40∘. Let F be a point on the extension of [AB] after B such that ∣BC∣=∣AF∣. Let E be the midpoint of [CF]. If G is the intersection of lines ED and AC, what is m(FBG)?<spanclass=′latex−bold′>(A)</span>150∘<spanclass=′latex−bold′>(B)</span>135∘<spanclass=′latex−bold′>(C)</span>120∘<spanclass=′latex−bold′>(D)</span>105∘<spanclass=′latex−bold′>(E)</span>None of above