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In △ A P B and △ A Q B
A P = A Q (Given)
B P = B Q (Given)
A B = A B (Common Side)
∴ △ A P B ≅ △ A Q B ( S . S . S . )
⇒∠ P A B = ∠ Q A B ( C . P . C . T . C . )
⇒∠ P B A = ∠ Q B A ( C . P . C . T . C . )
Thus, AB is bisector of ∠ P A Q and ∠ P B Q
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