Question

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

∠ABC ≅ ∠ABD
∠ABD ≅ ∠CBE
∠CBD ≅ ∠DBE
∠CBD ≅ ∠ABC

Answer 1

Answer:∠ABD ≅ ∠CBE is correct statement

Explanation:

Answer 2

∠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