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We know that the angles on the same side of transversal is equal to 180°.
So, PQR+QRX = 180°
Or,QRX = 180°-110°
∴ QRX = 70°
Similarly,
RST +SRY = 180°
Or, SRY = 180°- 130°
∴ SRY = 50°
Now, for the linear pairs on the line XY-
QRX+QRS+SRY = 180°
Putting their respective values, we get,
QRS = 180° – 70° – 50°
Hence, QRS = 60°
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