Question

pls answer this question

Answer 1

Let, AE and CD intersects each other at Point O.

Now, In tr.AOD and tr.EOC
angle x = angle y (given)
angle AOD = angle EOC ( V.O.A.)
AD=CE (half of the equal sides are always equal).

So, by AAS congruency rule,
Tr. AOD is congruent to Tr. EOC
By, CPCT
we have, angle A = angle C.

Now,
In Tr. ABE And Tr. CBD
AB = BC (given)
angle A = angle C (proved above)
angle B = angle B ( common angle)
so, by AAS congruecy rule,
Tr. ABE is congruent to Tr. CBD

By CPCT,
we have,
AE = CD.

Hence, Proved.


Hope this will help you. ✌✌☺