subject is mathematics
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Answer:
Given :-
L is the bisector of angle A
BP and BQ are perpendicular
To prove:-
I) ∆ABQ ≈ ∆AQB
ii) BP = BQ
proof:-
In ∆ ABQ and ∆AQB
AB = AB (common)
Angle Q = angle P = 90°
Angle QAB = Angle BAP (L is bisector of angle A)
∆ABP ≈ ∆AQB (AAS congruence rule )
ii) BP = BQ ( by cpct)
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