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Answer:hi friend , here is ur answer
Step-by-step explanation:
To prove: PX║RY
Proof:∠P =∠R
1/2∠P=1/2∠R_______(1)
in ΔPSX and RQY
PS =QR(sides of a ║gm)
∠S = ∠Q(opposite sides)
∠SPX = ∠YRQ (FROM 1)
∴ΔPSX=ΔRQY
from CPCT we get
SX = QY
⇒PY = XR (PQ-QY=SR-SX)
PY║XR (as PQ ║SR)
so, ∴PYRX is a parallelogram
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