So here is how we find the measurement of m∡FDE. Given that mArc BC is 67° and mArc EF is 74°.
<fde=1/2∗(67+74)
<fde = 1/2*(141)
<fde = 70.5
Therefore, the measurement of m∡FDE is 70.5° and that would be the third option. Hope this is the answer that you are looking for.