Question

2. Given: (DB) bisects ∠ABC, ∠ADB≅∠CDB
Prove: ∆CDB≅∆ADB

Answer 1

Answer:

We have OA = OC and OB = OD and∠AOB =∠COD which are vertically opposite angles.

Therefore by SAS condition, △AOC ≅ △BOD.

Answer 2

➪ Given: (DB) bisects ∠ABC, ∠ADB≅∠CDB

Prove: ∆CDB≅∆ADB

Explaination

︎︎︎ In △ABD and △CDB

AB=CD (given)

∠ABD=∠CDB (given)

BD=DB (common side)

∴△ADB≅△CDB by SAS criteria.

So option A is correct.

hence it proved

hope it's help