In Fig. 6.14, and AP and BP are bisectors of
and
, respectively. Find
and AP and PB are the bisectors of
and
,
We know that the interior angles on the same side of the transversal are supplementary
So,
…(i)
AP and BP are the bisectors of and
respectively.
…(ii)
…(iii)
On adding equations (ii) and (iii) we get
From equation (i)
In ,
Hence