Given the figure above what is the measure of

<edf is 86 vertical angles
< e + <edf + <efd =180 sum of the angles of a triangle
42+ +86 +<efd =180
128 + <efd = 180
subtract 128 from each side
<efd = 52
<efd + <dfg = 180 straight line
52+ <dfg = 180
subtract 52 from each side
<dfg = 128
Answer : 128