The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is

BE & EF are perpendiculars from the same point

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∠ EBF = 300(given)


Sum of interior angles of a quadrilateral = 3600


∠ EBF + ∠ BED + ∠ EDF + ∠ DFB = 3600


∠ EDF = 3600-(900 + 900 + 300)


∠ EDF = 1500 which is an obtuse angle.

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