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ThiruN
How do we come to the conclusion that △ ABD = △ ACD = △ BDC?

hi,
we know that BD and CD are angular bisectors and from the figure we know they meet at point D, which is basically the incenter.

If an angle bisector is drawn from A it meets at D as show in the previous post.

if u find the angles for all the points of both the triangles u will find that the bigger triangle gets broken down to 3 parts which are equal to each other.
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