Here, in , are the midpoints of the sides and respectively.

By mid point theorem, as F and E are the mid points of sides AB and AC,

FE ∣∣ BC

Similarly, DE ∣∣ FB and FD ∣∣ AC.

Therefore, AFDE, BDEF and DCEF are all parallelograms.

We know that opposite angles in parallelogram are equal.

In AFDE, we have,

A = EDF

In BDEF, we have,

B = DEF

In DCEF, we have,

C = DFE

Hence proved.

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