What common angle do triangle CDG and triangle FCE share?

An image of two overlapping right triangles is shown. Triangle E C D overlaps triangle G C D. The hypotenuses of the two triangles intersect at point B.
A. angle FBG congruent to angle DBE
B. angle CEF congruent to angle CGD
C. angle CDG congruent to angle CFE
D. angle FCE congruent to angle DCG
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C. angle CDG congruent to angle CFE