5. In Fig. 2, PQ I BA and PR I BC, such that PQ = PR.
Show that BP bisects ZABC.
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Answer:
We have,
∠1=∠2 [∵ BP is the bisector of ∠ABC]
∠1=∠3 [∵PQ∥BA]
∴∠2=∠3
⇒PQ=BQ
⇒ΔPBQ is isosceles.
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