Question

If a diagonal of a parallelogram bisects one of the angles of the parallelogram, prove that it also bisects the second angle and then the two diagonals are perpendicular to each other.

Answer 1

Step-by-step explanation:The opposite angle of a parallelogram are equal. In a parallelogram, the bisectors of any two consecutive angles intersect at right angle. The diagonals of a parallelogram bisect each other. In a diagonal of a parallelogram bisects one of the angles of the parallelogram; it also bisects the second angle

Answer 2

Step-by-step explanation:

In triangle AOB and COD

AB=CD(because ABCD is a parallelogram

the angles are equal (given)

by CPCT,

angle DOC=AOB

x+x+x+x=360

4x=360

x=90

l hope this helps you..

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