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^ qrs= 130 corresponding angles are equal
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Step-by-step explanation:
Draw a line XY parallel to PQ and ST
Now, PQ and XY are parallel and QR is transversal
angle PQR + angle QRX = 180 [ sum of the angle on the same side of transversal is 180]
110 + angle QRX = 180
angle QRX = 180 - 110
angle QRX = 70
Similarly, ST is parallel to XY
STR + SRY = 180 [ sum of the angle on the same side of transversal is 180]
130 + SRY = 180
SRY = 180 - 130
SRY = 50
QRX + QRS + SRY = 180 [ ANGLE ON STRAIGHT LINE]
70 + QRS + 50 = 180
QRS = 180 - 120
QRS = 60
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