What is the measure of angle EFD?

Answer:B. [tex]123^o[/tex]Step-by-step explanation:We have been given an image of a circle and we are asked to find the measure of angle EFD.        Since we know that tangent of a circle in perpendicular to radius, so measure of angle FEC and measure of angle FDC will be 90 degrees.Since we know that the tangent drawn from an external point of a circle are equal, so length of segment EF will be equal to the length of segment FD.Since radii of a circle are equal, so length of CD will be equal to length of CE.We can see that CEFD is a kite as it has two disjoint pairs of congruent sides and one pair of congruent opposite angles.Since all the angles of a kite add up-to 360 degrees, so the measure of angle EFD will be equal to:[tex]m\angle EFD=360^o-(90^o+90^o+57^o)[/tex][tex]m\angle EFD=360^o-(237^o)[/tex][tex]m\angle EFD=123^o[/tex]Therefore, the measure of angle EFD is 123 degrees and option B is the correct choice.