the sides AB and AC of
are produced to points E and D, respectively. If bisectors BO and CO of 
and 
respectively meet at point O, then prove that 
Answer:
As
and 
from a linear pair.
[linear pair]
As 
is the bisector of 
Therefore, [linear pair]
(1)
?(i)
Again,
and
form a linear pair.
[linear pair]
As
is the bisector of 
therefore
So, [linear pair]
?(ii)(1)
In
we have
?(iii)(1/2)
sum of three angles of a triangle is 
From Eqs. (i), (ii) and (iii), we have
?(iv)(1/2)
(1)
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