Question

(iv) In given figure, if x=y and AB = CB then prove that AE = CD.​

Answer 1

Answer:

proved

Step-by-step explanation:

As opposite sides are equal so

AE=CD

Answer 2

Step-by-step explanation:

y°= angle A + angle B (exterior angle)

x°= angle B + angle C (exterior angle)

x°=y° ( given)

angle A + angle B= angle B + angle C

angle A= angle C

In ∆ABE & ∆BDC

AB = CD (given)

Angle A= angle C ( proved above)

angle B= angle B (common angle)

∆ABE congruent to ∆BDC ( by ASA rule )

AE=CD (by CPCT)