Question

in triangle ABC and triangle PQR,AB=PQ,BC=QR.CB and RQ are extended to X and Y respectively and angle ABX = amgle PQY.Prove that triangle ABC is congruent to triangle PQR​

Answer 1

Answer:

In ΔABC and ΔPQR

AB=PQ

And BC=QR

CB And RQ extended to X and Y

∠ABX=∠PQY

∠ABC=180

o

−∠ABX=180

o

∠PQY

∠PQR=180

o

−∠PQY=∠ABC

We get in both triangles

AB=PQ

BC=QR

And ∠ABC=∠PQR

Then both triangle are congruent

i.e. ΔABC=ΔPQR