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first construction a line EF parallel to CD (see the attachment).
now ,
angle abo and angle boe are supplementary angles.
so , 55° + angle boe = 180°
=> angle boe = 180 - 55
=> angle boe = 125° ---- (i)
similarly,
angle cod + angle eod = 180°
=> 25° + angle eod = 180°
=> angle eod = 180° - 25°
=> angle eod = 155° ---- ( ii )
now , adding ( i ) and ( ii ) , we get
125° + 155°
=280°
so , angle x = 280°
hope it helps...
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