Question

In the parallelogram ABCD, the ongles
A and C are abtuse points X and y are
taken on the diagonal BD such that
the ongles XAD and Y CB are right
angles
prove that
XA = YC​

Answer 1

Step-by-step explanation:

In triangle XAD and YCB

angleXAD=angleYCB ( =90)

AD=BC (Opposite sids of parallelogram are equal)

angleXDA=angleYCB ( (Alternate angles of parallel lines AD and BC)

therefore, TriangleXAD congruent to triangleYCB

( ASA)

therefore, XA=YC (Corresponding sides)

Hope this will help you