In the given figure, the value of x is: 1. 15 2. 30 3. 36 4. 40

In Δ AOB and Δ DOC ⇒ ∠AOB = ∠DOC (Vertically opposite angles are equal) ⇒ ∠BAO = ∠DCO (Alternate angles are equal) ⇒ ∠ABO = ∠CDO (Alternate angles are equal) ∴ Δ AOB ∼ Δ COD (By AAA postulate) We know that, Corresponding sides of similar triangles are proportional. Hence, option 2 is the correct option.