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1. In triangle APC & BPD, we have,
Angle CPA = Angle BPD [Vertically opposite angles]
AC = BD (Given)
Angle CAP = Angle ABD (Co-interior angles)
Therefore, By A.S.A Congruency Criterion,
∆APC is congruent to ∆BPD.
Hence proved
2. In ∆ABY & ∆ACX, we have,
Angle A is common
AB = AC (Given)
AX = AY (Given)
Therefore, By S.A.S Congruency Criterion,
∆ABY is congruent to ∆ACX
Hence proved
Hope it helps you!
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