Triangle BDC is isosceles.
Which angle is congruent to BAD?
A) BCD
B) CAB
C) DBC
D) ACD

The angle congruent to ∠BAD in given geometry is ∠CAB.
Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
Here, ΔBCD is an Isosceles triangle, and A is incentre.
so, ∠ BCD = ∠ BDC
then, ∠ BAD = ∠ CAB
Thus, the angle congruent to ∠BAD in given geometry is ∠CAB.
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