Answer
$m \angle A = m \angle D$
Work Step by Step
We are given that $\triangle ABC$ ∼ $\triangle DBF$. In similar triangles, corresponding angles are congruent, and corresponding sides are proportional.
Let us list the congruent angles in the two triangles:
$\angle A ≅ \angle D$
$\angle B ≅ \angle B$
$\angle C ≅ \angle F$
Therefore, $m \angle A = m \angle D$.
