The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
What is the SAA Congruence Theorem?
The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.
Thus:
ΔADB and ΔCBE have:
- two pairs congruent angles: ∠ABC ≅ ∠CBE and ∠BAD ≅ ∠BCE
- one pair of non-included congruent sides: AD ≅ EC
Therefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
Learn more about the SAA congruence theorem on:
https://brainly.com/question/2102943
