Question

In the given figure, it is given that RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ΔSAT.

Answer 1

It is given that

We have to prove that

Now

In we have

(Isosceles triangle) .......(1)

Now we have

(Vertically opposite angles)

(Since, given)

.......(2)

Subtracting equation (2) from equation (1) we have

Now in and we have

(Given)

So all the criterion for the two triangles and are satisfied to be congruent

Hence by congruence criterion we have proved.