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minana
Official answer is D, but I chose C.
What I wonder is, if EG bisects DF, shouldnt the triangle be an isoscles triangle? and if angle EDF is 60, i thought it would be equilaterial.
But the explanation says if EDF is 60 degrees, DEF can be 90 degrees and and DFE 30, so the answer is E. But I think in this case EG cannot bisect DF?

Posted from my mobile device

Hi minana,

The question nowhere mentions that line EG is a perpendicular Bisector of DF. Consider line EG bisecting DF at some angle suppose 60. Had it been mentioned as a Perpendicular Bisector, then DE = EF. Hence, E.

Hope, this is clear.

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