In a ΔABC, it is given that AB=AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC=∠ABC.

In a ΔABC, it is given that AB=AC and the bisectors of ∠B and ∠C

1.	In a ΔABC, it is given that AB=AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC=∠ABC.
Answer» In a $Δ A B C, it is given that A B = A C and the bisectors of ∠ B a n d ∠ C intersect at O. If M is a point on BO produced, prove that ∠ M O C = ∠ A B C .$