Question

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that:

∠AOB = 1/2 (∠C + ∠D)

Answer 1

Given : AO and BO are the bisectors of ∠A and ∠B respectively.

∠1 = ∠4 and ∠3 = ∠5 ……..(i)