Question

The sides of BA and CA have been produced such that BA=AD and CA=AE.Prove that DE parallel to BC

Answer 1

hey
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but <3 and <4 are also pair alternate interior angles, we know that when alternate interior angles are equal then the lines are said to be parallel

henc , BC||ED

hope helped
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Answer 2

Step-by-step explanation:

STATEMENT                                                       REASON

in triangle ADE & triangle ABC

BA=AD                                                                GIVEN

CA=AE                                                                GIVEN

angle BAC= angle DAE                                        VOA

triangle ADE is congruent to triangle ABC         SAS

angle ADE=angle ABS(CPCT)

angle ADE and angle ABC are the allternate interrior angles for the line segmant DE and BC.

Hence DE||BC!

Hope it helped!