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Step-by-step explanation:
AB // CD
So we can say BD is a transversal
So angle ABD = angle CDB(opposite interior angles are equal)
= 30 degrees
x = 30
Similarly
In triangle ABD,
now sum of angles in a triangle = 180
So , x+y+80 = 180
110 + y = 180
y = 70
In triangle BCD,
y-30 = 40
40+30+z = 180
z = 110
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