Question

In the given figure seg AB ≅ seg AC Seg BD ≅ seg BC, ∠BAC = 500, ∠BDC = 400 Find value of x and y​

Answer 1

It is given that ∠BAD=∠EAC

∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]

∴∠BAC=∠DAE

In △BAC and △DAE

AB=AD (Given)

∠BAC=∠DAE (Proved above)

AC=AE (Given)

∴△BAC≅△DAE (By SAS congruence rule)

∴BC=DE (By CPCT)

I hope it helps you