Question

In the given figure the sides BA and CA have been produced such that BA=AD and CA=AE.Prove that the segment DE||side BC

Answer 1

◆Ekansh Nimbalkar◆
hello friend here is your required answer

Answer 2

Hi there !!

In ΔADE and ΔABC
BA = AD [ Given ]
CA=AE [ Given ]
∠1 = ∠ 2 [ Vertically opposite angles ]

ΔADE ≅ ΔABC [ SAS ]

SO ,
∠ADE = ∠ABC [ cpct ]

∠ADE and ∠ABC are the alternate interior angles for the line segment DE and BC !!!

Hence ,
DE || BC