Answer
The information is true for ∠ABD ≅ ∠CBD .
Reason
In the Δ ABD and ΔCBD
BD = BD
(Common sides of both the triangles)
∠A = ∠C = 90 °
AD = CD
(As shown in the disgram)
now by using SAS Congurence property.
Δ ABD ≅ ΔCBD
Thus ∠ABD ≅ ∠CBD
(By corresponding sides of the congurent triangles.)
Therefore
its true that ∠ABD is congruent to ∠ CBD .
