In the given figure, is a cyclic quadrilateral whose sides and are produced to meet in

Question

In the given figure, is a cyclic quadrilateral whose sides and are produced to meet in Prove that

Philoid · Accepted Answer

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.