Explain,why

ΔABC≅ ΔFED

Giventhat, ∠ABC = ∠FED (1)

∠BAC= ∠EFD (2)

The twoangles of ΔABC are equal tothe two respective angles of ΔFED.Also, the sum of all interior angles of a triangle is 180º.Therefore, third angle of both triangles will also be equal inmeasure.

∠BCA= ∠EDF (3)

Also,given that, BC = ED (4)

By usingequation (1), (3), and (4), we obtain

ΔABC≅ ΔFED (ASAcriterion)

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