Q. 344.0( 4 Votes )

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
A. 100°

B. 150°

C. 105°

D. 120°

Answer :

BE & EF are perpendiculars from the same point

c1.JPG


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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