Question

Given that ∠ABC ≅ ∠DBE, which statement must be true?

Answer 1

Answer:∠ABD ≅ ∠CBE   is correct statement

Step-by-step explanation:

Answer 2

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