Consider circle A in the diagram below
What is the measure of m
A 62°
B 124°
C 31°
D 56°

How I got that

Angle DCE is given to be 62 degrees. By the inscribed angle theorem, It doubles to 124 degrees, which is the measure of central angle DAE.

Note how angles DAF and DAE are a linear pair. This means they are adjacent supplementary angles. So they add to 180

(angle DAF)+(angle DAE) = 180

(angle DAF) + (124) = 180

angle DAF = 180-124

angle DAF = 56