The sum of the exterior angles of any polygon is always 360 degrees. Given that three of the exterior angles of the hexagon sum to 240 degrees, the remaining two angles must sum to 360 - 240 = 120 degrees. Since these two angles are congruent to each other, each of the remaining angles measures 120/2 = 60 degrees. Thus, the measure of each of the remaining angles is 60 degrees.
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