Question

Prove this concept ​

Answer 1

First we have to prove that

(i)∆ABC=∆DBC

according to the picture

AB=DC(given in the question)

<A=<D(given in the question)

BC=BC(common side)

hence proved that

∆ABC=∆DBC

(ii)<B=<C

we have recall the theory that is:

The angles opposite to the equal sides are also equal

here=angle b opposite side is DC

angle c opposite side is AB

AB and DC are equal sides,it is givenin the question

hence proved that

<B=<C