In the given figure,
is a cyclic quadrilateral whose sides
and
are produced to meet in ![]()
Prove that ![]()

In ΔEBC and ΔEDA,
∠EBC = ∠CDA
⇒ ∠EBC = ∠CDA ________________ (i)
∠ECB = ∠BAD
⇒ ∠ECB = ∠EAD ________________ (ii)
∠BEC = ∠DEA ________________ (iii)
From equation (i), (ii) and (iii),
ΔEBC ≅ ΔEDA Proved.
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