In the adjoining figure, D, E, F are the midpoints of the sides B C, C A and A B respectively, of...

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In the adjoining figure, D, E, F are the midpoints of the sides B C, C A and A B respectively, of A B C. Show that ∠ E D F=∠ A, ∠ D E F=∠ B and ∠ D F E=∠ C.
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