Question

answer this question with full explanation as soon as possible.......don't spam❌❌❌❌❌❌❌​

Answer 1

Answer:

given AB=EB THEREFORE A=E

BC=BD THEREFORE D=C

BC/BD=BE/BA(BY ALTARNATE OPPOSITE ANGLE)

A=C or E=D THEREFORE

IT IS AN PARLLEL LINE

Answer 2

Step-by-step explanation:

Given: BE =AB.

BC =BD.

To prove: AEllDC.

proof :

<ABE= <DBC........(i).( vertically opposit angle).

in∆ABE,

<BEA=<EAB......angle opp. equal side.

in∆BCD,

<BCD=<CDB........angle opp. equal side.

hence <AEB=<EAB=<BCD=<CDB.

hence by AAA congruency rule....

∆AEB is congruent to ∆BDC.

hence we had already proved that <AEB=<BDC....

so , we can conclude that , if two lines are parallel then alternate interior angles are equal ....

here we have proved these two angle as alternate interior. angle

so, AE ll DC