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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

given that , ∠1 = ∠2 OA = OD ∠CAO = 180 - ∠1 ( linear pair ) ∠BDO = 180 - ∠2 ( " " ) if , ∠1 = ∠2 ⇒ ∠CAO = ∠BDO ------ ( i )

now in , ΔCAO & Δ BDO ∠CAO = ∠BDO ( From eqn. (i) ) ∠COA = ∠BOD ( v. opp. angles ) OA = OD ( given ) by AAS , ΔCAO congruent to Δ BDO .'. OB = OC ( c.p.c.t.) by the property of isosceles triangle two sides are equal and in the given figure we proved that OB = OC therefore Δ OCB is isosceles triangle .... ( proved )