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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

Note: Figure not drawn to scale.

In the figure, triangle $ABF$ is congruent to triangle $EDG$, where $B$ corresponds to $D$. The measure of angle $DCF$ is $58^{\circ }$. What is the measure, in degrees, of angle $ABF$?

A

$29$

B

$32$

C

$58$

D

$61$