diagonals of a quadrilateral abcd bisect each other , if angle A=35,then angle B is


As we know that if the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.
Hence  ABCD is a parallelogram
Now DAB and ABC  are consecutive interior angles as ADBC and AB is a transversaland we know that sum of consecutive interior angles is 180°DAB+ABC=180°ABC = 180°-DAB =180°-35°=145°

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AS DIAGONALS OF QUADRILATERAL BISECT EACH OTHER MEANS IT IS A PARALLELOGRAM. SO ANGLE B WILL BE 145O(BY PROPERTY OF CO-INTERIOR ANGLES.)

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