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AD & BC are parallel therefore angleDAC = angleABC >> alternating angles.
Therefore, y = 50°
x+y = 80° >> remote interior angle theorem
x = 80-y = 80-50 = 30° = angleACD
z+50+angleACD = 180°
z = 180°-50°-30°
z = 180°-80° = 100°
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