Question

Please give correct answer .....​

Answer 1

Step-by-step explanation:

In triangle ABC and PQR,

AB=PQ

BC=QR

Angle ABX=Angle PQR

According SAS theorem,

Triangle ABC = Triangle PQR

Answer 2

Step-by-step explanation:

Angle ABX = Angle PQY

∆ ABC and ∆ PQR

Angle ABX + Angle ABC = 180° [ linear pair ]

Angle PQX + Angle PQR = 180° [ linear pair ]

Angle ABC = 180 - Angle ABX [ ABX = POY ]

Angle PQR = 180 - Angle PQY

Angle ABC = Angle PQR

and Angle ABC and Angle PQR

AB = PQ [ given ]

BC = QR [ given ]

Angle ABC = Angle PQR [ Hence proved ]

∆ ABC congruent to ∆ PQR [ SAS rule ] .