Question

Which angles below are equal to ∠CDB?

Answer 1

(x) ∠CAB

Explanation:

In ΔCOD and ΔBOA

`(OA)/(OB) = (OD)/(OC) \\\\\implies (OC)/(OB) = (OD)/(OA)`

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB