Q. 124.1( 7 Votes )

In the given figure, AB=AC and OB=OC. Prove that ABO=ACO. Give that AB=AC and OB=OC.


Answer :

∆ABC and ∆OBC are isosceles triangle.


ABC = ACB and OBC = OCB ….(1)


Also,


ABC = ABO + OBC


And ACB = ACO + OCB


From 1 and above equations, we state that,


ABC = ABO + OBC


And ABC = ACO + OBC


This implies that,


ABO = ABC - OBC


And ACO = ABC - OBC


Hence,


ABO = ACO = ABC - OBC


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