Question

PLEASE ANSWER IT FAST...
6. In the parallelogram ABCD, the angles A and
C are obtuse. Points X and Y are taken on
the diagonal BD such that the angles XAD
and YCB are right angles.
Prove that : XA = YC.

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Answer 1

Answer:

1

In △XAD and △YCB

∠XAD=∠YCB (Given each 90

∘

)

AD=BC (Opposite sids of parallelogram are equal)

∠XDA=∠YBC (Alternate angles of parallel lines AD and BC)

△XAD≅△YCB (ASA rule)

Thus, XA=YC (Corresponding sides)

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