Question

I have a picture of it.

Answer 1

Since PO = OQ and ∠1 = ∠2 we can conclude:

AP≅QB

and

AO≅OB

Now, if the two angles of one pair are congruent , then the angles of each of the other pairs are also congruent. so :

∠A and ∠B are alternate angles ( in this case are interior), so they are equal.