Answer
∠ABD ≅ ∠CBE is correct statement
It is given that ∠ABC ≅ ∠DBE,
Here vertex B is common for two triangles.It implies that,
∠ABCand ∠DBE are pair of vertically opposite angles. (vertically opposite angles are equal.
∠ABC ≅ ∠ABD False. (Ab is common, These angles are adjacent s angles)
∠ABD ≅ ∠CBE True.(B is the common vertex, another pair of vertically opposite angle))
∠CBD ≅ ∠DBE Fasle
∠CBD ≅ ∠ABC False
