Given that ∠abc ≅ ∠dbe, which statement must be true?
∠abc ≅ ∠abd
∠abd ≅ ∠cbe
∠cbd ≅ ∠dbe
∠cbd ≅ ∠abc

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