Q. 63.9( 51 Votes )

ABCD is a paralle

Answer :




It is visible that ABCE is a cyclic quadrilateral and in a cyclic quadrilateral, the sum of opposite angle is 1800

AEC = CBA = 180


AED = CBA (i)


We know that: Opposite angles of a parallelogram are equal


Hence,


ADE = CBA (ii)


Using (i) and (ii)


ADE = AED


AE = AD (angles opposite to equal sides are equal)

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