It doesn't really matter what point D is. You are looking for a point F such that EOF is a straight line. The line OD is common to both angles.
So, pick F so that its coordinates are on the opposite side of O from E. That is, F=(-5,-1).
<DOE contains points D(2,3) O(0,0) and E(5,1). Find the coordinates of a point F so that OF is a side of an angle that is adjacent and supplementary to <DOE
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