Question -
Answer -
In the given ΔABC, the bisectors of 
and 
intersect at D
We need to prove:
Now, using the exterior angle theorem,
∠ABE=∠BAC+∠ACB∠ABE=∠BAC+∠ACB .….(1)
As ∠ABE and ∠ACB are bisectedAs ∠ABE and ∠ACB are bisected
∠DCB=12∠ACB∠DCB=12∠ACB
Also,
∠DBA=12∠ABE∠DBA=12∠ABE
Further, applying angle sum property of the triangle
In ΔDCB
