minana wrote:

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?

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If statement 1 says EG bisects DF, then there is no reason not to believe this.

Take these statements (1 and 2 ) in DS questions as facts

Let us come to the question .

When EG bisects DF say at point O , the only information we have is that DO=OF

we do not have any information on the angles

statement 1 is insufficient

statement 2 says EDF = 60

again on its own statement 2 is insufficient.

the other two angles E+F=120 , and can take various values

using both the statements

DO=OF and EDF=60

We still cannot ascertain the value of DFE

so the answer should be E