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Step-by-step explanation:
In △s APB and ABQ, we have
∠APB=∠AQB (Each 90 )
∠PAB=∠QAB (AB bisect ∠PAQ)
AB=BA (common)
Therefore, △APB≅△ABQ (AAS)
⇒ BP=BQ (cpct)
Hence, B is equidistant from the arms of ∠A.
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