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since AB parallel DC and AD same length as BC
either z=110° or z=180°-110° and x=y or x=180°-y
form the picture I would say z=110° is the case and so x=y
360°=110°+x+y+z
250°=110°+x+y
140°=2x
x=70°

answer x=70° y=70° z=110°