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extend TU
extend PQ
angle TRS= angle RT and extended line of TU towards left.(alternate angles)
proof= TU extended line is 180 degrees
so, 150+30=180
so, TU is parellel to RS........(1)
simelarly PQ is parallel to RS.......(2)
hense TU is parallel to PQ. (from 1 and 2)
HENSE PROVED
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Answer:
a simple step
angle PQR= ANGLE QRS (ALTERNATE INTERIOR ANGLES)
SO PQ||RS --1
ANGLE UTR+ANGLE TRS(INTERIOR ANGLES ON SAME SIDE OF TRANSVERSAL
SO RS||TU--2
FROM 1 & 2
PQ||TU
HOPE IT HELPS YOU
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