Question

In fig., ∠AOC ≅∠PYR and ∠BOC ≅∠QYR. Name the angle which is congruent to ∠AOB.

Answer 1

Given that∠AOC ≅∠PYR

Also given that ∠BOC ≅∠QYR 

Now, ∠AOC = ∠AOB + ∠BOC ∠PYR =∠PYQ +∠QYR 

By putting the value of ∠AOC and ∠PYR in ∠AOC ≅∠PYR

We get, ∠AOB + ∠BOC ≅∠PYQ + ∠QYR ∠AOB ≅∠PYQ (∠BOC ≅∠QYR) 

Hence, ∠AOB ≅∠PYQ