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Clearly PQ is a transversal
Hence we can say that the alternate angles AQP and QPD are same so 100° (180-80) is angle QPD
5x=100
x=20
2x=40
now sum of three sides of triangle is 180°
180-80-40=60
y+z is straight angle hence 180°
180-60=120
So the value of x,y,z is 20° 60° 120° respectively
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