ABCD is a parallelogram. CB is produced to E such that BE = BC. Prove that AEBD is a parallelogram

ABCD is a parallelogram. CB is produced to E such that BE = BC. Prove

1.	ABCD is a parallelogram. CB is produced to E such that BE = BC. Prove that AEBD is a parallelogram
Answer» ABCD is a \|\|gm then AD=BC & AD\|\|BC also BC=BE (Given) . AD=BE & AD\|\|BE (Parts of \|\| lines).Hence,AEBD is a \|\|gm as 1 pair of oppo.sides is equal and \|\|.