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Question 147
In parallelogram PQRS, O is the mid-point of SQ. Find S,R, PQ, QR and diagonal PR.

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Solution

Given, RQY=60
SRQ=RQY [SRPY, RQ is the transversal]
R=60
S=180R=18060=120 [ adjacent angles are supplementary]

Also, SR = 15 cm
PQ = 15 cm [ opposite sides of a parallelogram are equal]
And PS = 11 cm
QR = 11 cm [ opposite sides of a parallelogram are equal]
PR is bisected by SQ, so PR=2×PO=2×6=12 cm

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